Updated On : April 3, 2023
ISC Class 11 is the most significant phase where students need to pick the subject of their interest out of the subjects that they have studied until now. Class 11 is a core building block for the 12th board exams, thus it is essential for students to concentrate more on the syllabus so as to prepare thoroughly in the final examination.
ISC Class 11 Maths is a crucial subject for the students as it assists them with building concepts that are asked in several competitive exams. It is really critical for them to have an in-depth idea regarding syllabus. Getting to know the ISC Class 11 Maths Syllabus will likewise provide them information about the question paper's structure.
At TopRankers, we provide the latest online preparation material for the students of class XI to assist them with taking care of the vast syllabus through various kinds of interactive media resources. In this article, information regarding ISC Maths Syllabus Class 11 will be covered in vivid detail. Candidates are advised to solve ISC Class 11 Maths Sample Papers to know the difficulty level of the paper and the type of questions asked in the exam.
The Class 11 Maths Syllabus ISC is subdivided into three sections namely A, B, and C. Section A is mandatory and you get a choice of options when you attempt questions from Section B or Section C.
ISC Mathematics paper has a duration of three hours for 100 questions. Section A accounts for 80 marks and comprises of nine questions. Question 1 is a compulsory question and you get an option to attempt five out of the remaining eight questions.
Before starting the preparation, candidates must be aware of the ISC Class 11 Commerce Syllabus. Section B/C accounts for 20 marks and you get an option to answer two questions out of three from either Section B or Section C.
According to the revised paper pattern for 2020-2021, Maths Section A paper will account for 65 Marks, and Section B and Section C will have internal options accounting for a total of 80 Marks.
As per the latest notice, the ISC has reduced the syllabus of all subjects for the academic year 2020. The reduced Class 11 ISC Maths Syllabus includes topics like sets and functions, algebra, coordinate geometry, calculus, statistics & probability, conic section, introduction to three-dimensional geometry, mathematical reasoning, statistics, correlation analysis, index numbers & moving averages.
The following is the ISC Board Class 11 Maths Syllabus. Candidates can go through the section-wise topics and plan their preparation accordingly.
Go through the detailed section A ISC Class 11 Maths Syllabus.
Mathematically acceptable statements. Connecting words/phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through a variety of examples related to real life and Mathematics. Validating the statements involving the connecting words, differences between contradiction, converse, and contrapositive.
(i) Complex Numbers
(ii) Quadratic Equations
(iii) Finite and Infinite Sequences
(a) Arithmetic Progression (A.P.)
(b) Geometric Progression (G.P.)
(c) Harmonic Progression
(d) Arithmetic Geometric Series
(e) Special sums
(iv) Permutations Combinations
(v) Mathematical induction
Using induction to prove various summations and divisibility.
(vi) Binomial Theorem
(a) Significance of Pascal’s triangle.
(b) Binomial theorem (proof using induction) for positive integral powers
(c) Binomial theorem for negative or fractional indices.
(vii) Properties of Binomial Coefficients
(i) Angles and Arc lengths
(ii) Trigonometric Functions
(iii) Compound and multiple angles
(iv) Trigonometric Equations
(i) Basic Concepts of Relations and Functions
(a) Ordered pairs, sets of ordered pairs.
(b) Cartesian Product (Cross) of two sets, the cardinal number of a cross product.
(c) Types of Relations: reflexive, symmetric, transitive, and equivalence relation.
(d) Binary Operation.
(e) Domain, Range, and Co-domain of a Relation.
(f) Functions
(ii) Differential calculus
(a) Limits
(b) Continuity
(c) Differentiation
(d) Application of derivatives
(iii) Integral Calculus
(i) Basic concepts of Points and their coordinates.
(ii) The straight line
(iii) Circles
Here is the detailed section B Class 11 Maths Syllabus for the ISC.
7. Vectors
8. Coordinate Geometry in 3-Dimensions
Check the topic-wise Class 11 Maths syllabus for section C.
NOTE: The following are also required to be covered:
The following is the marks weightage also known as blueprint for ISC Class 11 Maths Syllabus 2020-2021:
S.No. | Unit | Total Weightage |
Section A: 65 Marks | ||
1. | Sets and Functions | 20 Marks |
2. | Algebra | 24 Marks |
3. | Coordinate Geometry | 08 Marks |
4. | Calculus | 06 Marks |
5. | Statistics & Probability | 07 Marks |
Section B: 15 Marks | ||
6. | Conic Section | 07 Marks |
7. | Introduction to three-dimensional Geometry | 05 Marks |
8. | Mathematical Reasoning | 03 Marks |
OR Section C: 15 Marks | ||
9. | Statistics | 05 Marks |
10. | Correlation Analysis | 04 Marks |
11. | Index Numbers and Moving Averages | 06 Marks |
Total | 80 Marks |
The ISC Class 11 Maths Syllabus remains the same as before for the session 2021-22. The Class 11 Maths Syllabus for ISC includes topics like algebra, mathematical reasoning, trigonometry, calculus, coordinate geometry, statistics vectors, coordinate geometry in 3-dimensions, and average due date.
To help candidates, we have provided a direct link to download the complete syllabus PDF of Class 11 Maths.
The following are some of the important questions from the ISC Maths Syllabus for Class 11 that students should prepare thoroughly:
Question 1- Find the domain and range of the function f(x)=15−x√.
Question 2 –Evaluate the value of cosec(−1410)∘
Question 3- Write the converse, if two lines are parallel, then they do not intersect in the same plane.
Question 4- If a = 11, 2, 3, 41, B, B = {1, 3, 5, 7}, then find the relation “is less than” from A to B.
Question 5- Write the negation of the following statement: “sum of 2 and 3 is 6.”
Question 6- Evaluate- limx→0(sin(2+x)–sin(2−x)x).
Question 7- Find the derivative of sin2(2x) with respect to x.
Question 8- The foci of an ellipse are (±5,0) and eccentricity is -2. Find the equation of the ellipse.
Question 9- Describe the following set in roster form:
x∈N:x2<70
Question 10- Two vertices of a triangle are (2, -6, 4), (4, -2, 3) and its centroid is (8/3, -1, 3). Find the third vertex.
Question 11- If 16Cr=16Cr+2, then find rC4.
Question 12- Write the derivative of logax(a>0,a≠1) with respect to x.
Question 13- Write the equation of a line which is perpendicular to the line 3x–4y+9=0.
Question 14- How many elements have P(A) if A=ϕ?
Question 15- Solve: 5–2x/3≤x/6–5<
Question 16- Line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x.
The following are some of the important questions from ISC Class 11 Maths Syllabus 2020 that students should prepare thoroughly:
Question 1- In triangle ABC, prove that
cosAa+cosBb+cosCc=a2+b2+c22abc
Question 2- How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letter out of the word DAUGHTER?
Question 3- Find the coordinates of the orthocentre of the triangle whose vertices are (-1,3), (2,-1), and (0,0).
Question 4- Find the domain and range of the function f(x)=1x–|x|√.
Question 5: Find the variance for the following data
Classes | 0-30 | 30-60 | 60-90 | 90-120 | 120-150 | 150-180 | 180-210 |
Frequencies | 2 | 3 | 5 | 10 | 3 | 5 | 2 |
Question 6- Using the principle of mathematical induction, prove that
13.5+15.7+17.9+……..+1(2n+1)(2n+3)=n3(2n+3),∀n∈N.
Question 7- Express in the form of a+ib,
((3+i5√)(3–i5√)(3√+i2√)(3√–i2√))
Question 8- Prove that: cot(15/2)∘=2–√+3–√+4–√+6–√
Question 9- Four cards are drawn at random from a pack of 52 playing cards. Find the probability of getting one card from each suit.
Question 10- If a is A.M. and b and c be two G.M.s between any two positive numbers, then prove that b3+c3=2abc.
Question 11- In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
Question 12- Represent the complex number 1+3–√i in polar form.
Question 13- On an evening a man planned a party of their friends on his 25th marriage anniversary. When all of his friends have arrived, he introduced all to each other and everybody shakes hand with everybody else. Find the total person in a room, if total shake hands are 66.
Question 14- A committee of two members is selected from two men and two women. What is the probability that the committee will have one man?
Question 15- A teacher teaches their students with such a spirit that they must know what he knows? After teaching with the same spirit, he decided to check the ability of the students through a test. He has given a question if a,b are roots of x2–3x+p=0, c and d are roots of x2–12x+1=0, where a,b,c,d are in G.P. Evaluate the ratio q+p to q-p.
Question 16- Find the equation of the set of points ‘P’ such that its distance from the points (3,4,-5) and (-2,1,4) are equal.
Question 17- A horse is tied to a pole by a rope. If the horse moves along a circular path keeping the rope tight and describe 176m when it has traced out 72∘ at the pole, find the length of the rope.
Question 18- Evaluate the value of tan(π8)
Question 19- If (1+1/i–i)m=1, then find the least integral value of m.
Question 20- Evaluate-
(i) limx→0[(x+1)5−1x]
(ii) limx→π[sin(π+x)π(π−x)]<
The following are some of the important questions from the Syllabus of Maths for Class 11 ISC that students should prepare thoroughly:
Question 1- In a survey of 5,000 people in a town, 2,250 were listed as reading English newspapers, 1,750 are reading Hindi newspaper, and 875 were listed as reading both Hindi as well as English. Find how many people neither read Hindi nor English newspaper. Also, find how many read-only English newspaper.
Question 2- Using the binomial theorem, find the value of (52)4.
Question 3- Show that-
1.22+2.32+……..+n(n+1)212.2+22.3+………+n2.(n+1)=3n+53n+1
Question 4- Describe the set of complex number z such that
∣∣z+2−iz+5+4i∣∣=5
Question 5- A family of 4 members plans to go for Goa by train during summer for adventures. On the day of Journey, all the auto/taxi drivers were on strike due to the price hike of petrol. So the family couldn’t get any transport to the railway station. Now the family is standing at the crossing of two straight roads represented by equations 2x – 3y – 4 = 0 and 3x – 4y – 5 = 0, want to reach the path whose equation is 6x – 7y + 8 = 0 in the least time. Find the equation of the path that they should follow any why.
Question 6- Find the value of n, if the ratio of the fifth term from the beginning to the fifth term from the end in the
(214+1314)n is 6–√:1.
Question 7- Of the members of three athletic teams in a certain school, 21 axes in the basketball team, 26 in the hockey team, and 20 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball, and 8 play all the three games. How many members are there in all?
Question 8- Find the four numbers in G.P. in which the third term is greater than the first by 9 and the second term is 3 greater than the fourth by 18.
Question 9- Solve the given system of inequalities graphically:
x−2y≤3
3x+4y≥12
x≥1
y≥1Question 10- Show that area of the triangle formed by the lines y=m1x+c1, y=m2x+c1 and x=0 is
(c1–c2)22|m1–m2|
Question 11- Using the binomial theorem, prove that 6n–5n−1 is always divisible by 25.
Question 12- A student wants to arrange 3 Mathematics, 4 Hindi and 5 Physics book on a shelf. In how many ways the book can be arranged? How many arrangements are possible if all the books in the same subject are to be all together?
Question 13- In any triangle ABC, prove that:
(i) (sin(B−C)sin(B+C))=b2–c2a2
(ii) bcosB+ccosC=acos(B−C)
Question 14- Prove that the diagonals formed by the four straight lines
3–√x+y=0;3–√x+y=1 and 3–√y+x=1 are at right angles to one another.
Question 15- Prove that there is no term involving x5 in the expansion of (2x2–3/x)11.
Question 16- Find the equation of the circle which passes through the points (2,-2) and (3,4) and whose centre lies in x+y=1
Question 17- Find the coefficient of x5y7 in the equation (x–7y)12.
Question 18- If the sum of n terms of two arithmetic progressions are in the ratio 14–5n:3n+5, then find the ratio of their 8th terms.
Question 19- In a survey, it was found that people encourage their wards for science/commerce streams, and it looks commonly at school/college labels, there are 40 students in chemistry class and 60 students in physics class. Find the number of students who are either in physics or chemistry class in the following cases:
(i) The two classes meet at the same hour.
(ii) The two classes meet at different hours and 20 students enrolled in both subjects,
Question 20- An analysis of monthly wages paid to workers in two firms A and B belonging to the same industry, gives the following results:
Firm A | Firm B | |
No. of wage earners | 586 | 648 |
Mean of monthly wages | Rs. 5253 | Rs. 5253 |
The variance of the distribution of the wages | 100 | 121 |
(i) Which firm A or B pays a larger amount as monthly wages?
(ii) Which firm A or B shows greater variability in individual wages?
Referring to the right 11th Commerce Books will help students to enhance their preparation for the exam. Students should prepare using the following books these books for practicing questions of Maths Syllabus for Class 11 ISC:
S.Chand |
Arihant |
R.S. Aggarwal |
R.D. Sharma |
ML Aggarwal |
Frequently Asked Questions
What is the ISC Class 11 Maths Syllabus for the year 2020?
What are the important topics that need to be prepared under the Class 11 Maths Syllabus?
Is ISC Class 11 Maths easy?
How to make your maths stronger for ISC class 11?
which are the best books for the preparation of ISC Class 11 Maths Syllabus?
April 3, 2023
ISC Class 11 is the most significant phase where students need to pick the subject of their interest out of the subjects that they have studied until now. Class 11 is a core building block for the 12th board exams, thus it is essential for students to concentrate more on the syllabus so as to prepare thoroughly in the final examination.
ISC Class 11 Maths is a crucial subject for the students as it assists them with building concepts that are asked in several competitive exams. It is really critical for them to have an in-depth idea regarding syllabus. Getting to know the ISC Class 11 Maths Syllabus will likewise provide them information about the question paper's structure.
At TopRankers, we provide the latest online preparation material for the students of class XI to assist them with taking care of the vast syllabus through various kinds of interactive media resources. In this article, information regarding ISC Maths Syllabus Class 11 will be covered in vivid detail. Candidates are advised to solve ISC Class 11 Maths Sample Papers to know the difficulty level of the paper and the type of questions asked in the exam.
The Class 11 Maths Syllabus ISC is subdivided into three sections namely A, B, and C. Section A is mandatory and you get a choice of options when you attempt questions from Section B or Section C.
ISC Mathematics paper has a duration of three hours for 100 questions. Section A accounts for 80 marks and comprises of nine questions. Question 1 is a compulsory question and you get an option to attempt five out of the remaining eight questions.
Before starting the preparation, candidates must be aware of the ISC Class 11 Commerce Syllabus. Section B/C accounts for 20 marks and you get an option to answer two questions out of three from either Section B or Section C.
According to the revised paper pattern for 2020-2021, Maths Section A paper will account for 65 Marks, and Section B and Section C will have internal options accounting for a total of 80 Marks.
As per the latest notice, the ISC has reduced the syllabus of all subjects for the academic year 2020. The reduced Class 11 ISC Maths Syllabus includes topics like sets and functions, algebra, coordinate geometry, calculus, statistics & probability, conic section, introduction to three-dimensional geometry, mathematical reasoning, statistics, correlation analysis, index numbers & moving averages.
The following is the ISC Board Class 11 Maths Syllabus. Candidates can go through the section-wise topics and plan their preparation accordingly.
Go through the detailed section A ISC Class 11 Maths Syllabus.
Mathematically acceptable statements. Connecting words/phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through a variety of examples related to real life and Mathematics. Validating the statements involving the connecting words, differences between contradiction, converse, and contrapositive.
(i) Complex Numbers
(ii) Quadratic Equations
(iii) Finite and Infinite Sequences
(a) Arithmetic Progression (A.P.)
(b) Geometric Progression (G.P.)
(c) Harmonic Progression
(d) Arithmetic Geometric Series
(e) Special sums
(iv) Permutations Combinations
(v) Mathematical induction
Using induction to prove various summations and divisibility.
(vi) Binomial Theorem
(a) Significance of Pascal’s triangle.
(b) Binomial theorem (proof using induction) for positive integral powers
(c) Binomial theorem for negative or fractional indices.
(vii) Properties of Binomial Coefficients
(i) Angles and Arc lengths
(ii) Trigonometric Functions
(iii) Compound and multiple angles
(iv) Trigonometric Equations
(i) Basic Concepts of Relations and Functions
(a) Ordered pairs, sets of ordered pairs.
(b) Cartesian Product (Cross) of two sets, the cardinal number of a cross product.
(c) Types of Relations: reflexive, symmetric, transitive, and equivalence relation.
(d) Binary Operation.
(e) Domain, Range, and Co-domain of a Relation.
(f) Functions
(ii) Differential calculus
(a) Limits
(b) Continuity
(c) Differentiation
(d) Application of derivatives
(iii) Integral Calculus
(i) Basic concepts of Points and their coordinates.
(ii) The straight line
(iii) Circles
Here is the detailed section B Class 11 Maths Syllabus for the ISC.
7. Vectors
8. Coordinate Geometry in 3-Dimensions
Check the topic-wise Class 11 Maths syllabus for section C.
NOTE: The following are also required to be covered:
The following is the marks weightage also known as blueprint for ISC Class 11 Maths Syllabus 2020-2021:
S.No. | Unit | Total Weightage |
Section A: 65 Marks | ||
1. | Sets and Functions | 20 Marks |
2. | Algebra | 24 Marks |
3. | Coordinate Geometry | 08 Marks |
4. | Calculus | 06 Marks |
5. | Statistics & Probability | 07 Marks |
Section B: 15 Marks | ||
6. | Conic Section | 07 Marks |
7. | Introduction to three-dimensional Geometry | 05 Marks |
8. | Mathematical Reasoning | 03 Marks |
OR Section C: 15 Marks | ||
9. | Statistics | 05 Marks |
10. | Correlation Analysis | 04 Marks |
11. | Index Numbers and Moving Averages | 06 Marks |
Total | 80 Marks |
The ISC Class 11 Maths Syllabus remains the same as before for the session 2021-22. The Class 11 Maths Syllabus for ISC includes topics like algebra, mathematical reasoning, trigonometry, calculus, coordinate geometry, statistics vectors, coordinate geometry in 3-dimensions, and average due date.
To help candidates, we have provided a direct link to download the complete syllabus PDF of Class 11 Maths.
The following are some of the important questions from the ISC Maths Syllabus for Class 11 that students should prepare thoroughly:
Question 1- Find the domain and range of the function f(x)=15−x√.
Question 2 –Evaluate the value of cosec(−1410)∘
Question 3- Write the converse, if two lines are parallel, then they do not intersect in the same plane.
Question 4- If a = 11, 2, 3, 41, B, B = {1, 3, 5, 7}, then find the relation “is less than” from A to B.
Question 5- Write the negation of the following statement: “sum of 2 and 3 is 6.”
Question 6- Evaluate- limx→0(sin(2+x)–sin(2−x)x).
Question 7- Find the derivative of sin2(2x) with respect to x.
Question 8- The foci of an ellipse are (±5,0) and eccentricity is -2. Find the equation of the ellipse.
Question 9- Describe the following set in roster form:
x∈N:x2<70
Question 10- Two vertices of a triangle are (2, -6, 4), (4, -2, 3) and its centroid is (8/3, -1, 3). Find the third vertex.
Question 11- If 16Cr=16Cr+2, then find rC4.
Question 12- Write the derivative of logax(a>0,a≠1) with respect to x.
Question 13- Write the equation of a line which is perpendicular to the line 3x–4y+9=0.
Question 14- How many elements have P(A) if A=ϕ?
Question 15- Solve: 5–2x/3≤x/6–5<
Question 16- Line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x.
The following are some of the important questions from ISC Class 11 Maths Syllabus 2020 that students should prepare thoroughly:
Question 1- In triangle ABC, prove that
cosAa+cosBb+cosCc=a2+b2+c22abc
Question 2- How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letter out of the word DAUGHTER?
Question 3- Find the coordinates of the orthocentre of the triangle whose vertices are (-1,3), (2,-1), and (0,0).
Question 4- Find the domain and range of the function f(x)=1x–|x|√.
Question 5: Find the variance for the following data
Classes | 0-30 | 30-60 | 60-90 | 90-120 | 120-150 | 150-180 | 180-210 |
Frequencies | 2 | 3 | 5 | 10 | 3 | 5 | 2 |
Question 6- Using the principle of mathematical induction, prove that
13.5+15.7+17.9+……..+1(2n+1)(2n+3)=n3(2n+3),∀n∈N.
Question 7- Express in the form of a+ib,
((3+i5√)(3–i5√)(3√+i2√)(3√–i2√))
Question 8- Prove that: cot(15/2)∘=2–√+3–√+4–√+6–√
Question 9- Four cards are drawn at random from a pack of 52 playing cards. Find the probability of getting one card from each suit.
Question 10- If a is A.M. and b and c be two G.M.s between any two positive numbers, then prove that b3+c3=2abc.
Question 11- In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
Question 12- Represent the complex number 1+3–√i in polar form.
Question 13- On an evening a man planned a party of their friends on his 25th marriage anniversary. When all of his friends have arrived, he introduced all to each other and everybody shakes hand with everybody else. Find the total person in a room, if total shake hands are 66.
Question 14- A committee of two members is selected from two men and two women. What is the probability that the committee will have one man?
Question 15- A teacher teaches their students with such a spirit that they must know what he knows? After teaching with the same spirit, he decided to check the ability of the students through a test. He has given a question if a,b are roots of x2–3x+p=0, c and d are roots of x2–12x+1=0, where a,b,c,d are in G.P. Evaluate the ratio q+p to q-p.
Question 16- Find the equation of the set of points ‘P’ such that its distance from the points (3,4,-5) and (-2,1,4) are equal.
Question 17- A horse is tied to a pole by a rope. If the horse moves along a circular path keeping the rope tight and describe 176m when it has traced out 72∘ at the pole, find the length of the rope.
Question 18- Evaluate the value of tan(π8)
Question 19- If (1+1/i–i)m=1, then find the least integral value of m.
Question 20- Evaluate-
(i) limx→0[(x+1)5−1x]
(ii) limx→π[sin(π+x)π(π−x)]<
The following are some of the important questions from the Syllabus of Maths for Class 11 ISC that students should prepare thoroughly:
Question 1- In a survey of 5,000 people in a town, 2,250 were listed as reading English newspapers, 1,750 are reading Hindi newspaper, and 875 were listed as reading both Hindi as well as English. Find how many people neither read Hindi nor English newspaper. Also, find how many read-only English newspaper.
Question 2- Using the binomial theorem, find the value of (52)4.
Question 3- Show that-
1.22+2.32+……..+n(n+1)212.2+22.3+………+n2.(n+1)=3n+53n+1
Question 4- Describe the set of complex number z such that
∣∣z+2−iz+5+4i∣∣=5
Question 5- A family of 4 members plans to go for Goa by train during summer for adventures. On the day of Journey, all the auto/taxi drivers were on strike due to the price hike of petrol. So the family couldn’t get any transport to the railway station. Now the family is standing at the crossing of two straight roads represented by equations 2x – 3y – 4 = 0 and 3x – 4y – 5 = 0, want to reach the path whose equation is 6x – 7y + 8 = 0 in the least time. Find the equation of the path that they should follow any why.
Question 6- Find the value of n, if the ratio of the fifth term from the beginning to the fifth term from the end in the
(214+1314)n is 6–√:1.
Question 7- Of the members of three athletic teams in a certain school, 21 axes in the basketball team, 26 in the hockey team, and 20 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball, and 8 play all the three games. How many members are there in all?
Question 8- Find the four numbers in G.P. in which the third term is greater than the first by 9 and the second term is 3 greater than the fourth by 18.
Question 9- Solve the given system of inequalities graphically:
x−2y≤3
3x+4y≥12
x≥1
y≥1Question 10- Show that area of the triangle formed by the lines y=m1x+c1, y=m2x+c1 and x=0 is
(c1–c2)22|m1–m2|
Question 11- Using the binomial theorem, prove that 6n–5n−1 is always divisible by 25.
Question 12- A student wants to arrange 3 Mathematics, 4 Hindi and 5 Physics book on a shelf. In how many ways the book can be arranged? How many arrangements are possible if all the books in the same subject are to be all together?
Question 13- In any triangle ABC, prove that:
(i) (sin(B−C)sin(B+C))=b2–c2a2
(ii) bcosB+ccosC=acos(B−C)
Question 14- Prove that the diagonals formed by the four straight lines
3–√x+y=0;3–√x+y=1 and 3–√y+x=1 are at right angles to one another.
Question 15- Prove that there is no term involving x5 in the expansion of (2x2–3/x)11.
Question 16- Find the equation of the circle which passes through the points (2,-2) and (3,4) and whose centre lies in x+y=1
Question 17- Find the coefficient of x5y7 in the equation (x–7y)12.
Question 18- If the sum of n terms of two arithmetic progressions are in the ratio 14–5n:3n+5, then find the ratio of their 8th terms.
Question 19- In a survey, it was found that people encourage their wards for science/commerce streams, and it looks commonly at school/college labels, there are 40 students in chemistry class and 60 students in physics class. Find the number of students who are either in physics or chemistry class in the following cases:
(i) The two classes meet at the same hour.
(ii) The two classes meet at different hours and 20 students enrolled in both subjects,
Question 20- An analysis of monthly wages paid to workers in two firms A and B belonging to the same industry, gives the following results:
Firm A | Firm B | |
No. of wage earners | 586 | 648 |
Mean of monthly wages | Rs. 5253 | Rs. 5253 |
The variance of the distribution of the wages | 100 | 121 |
(i) Which firm A or B pays a larger amount as monthly wages?
(ii) Which firm A or B shows greater variability in individual wages?
Referring to the right 11th Commerce Books will help students to enhance their preparation for the exam. Students should prepare using the following books these books for practicing questions of Maths Syllabus for Class 11 ISC:
S.Chand |
Arihant |
R.S. Aggarwal |
R.D. Sharma |
ML Aggarwal |
Frequently Asked Questions
What is the ISC Class 11 Maths Syllabus for the year 2020?
What are the important topics that need to be prepared under the Class 11 Maths Syllabus?
Is ISC Class 11 Maths easy?
How to make your maths stronger for ISC class 11?
which are the best books for the preparation of ISC Class 11 Maths Syllabus?