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# CBSE Class 11 Applied Maths Coordinate Geometry: Topics & Preparation

Author : Palak Khanna

March 3, 2022

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CBSE has introduced Applied Maths as a new subject in their curriculum. Coordinate geometry is one of the topics included in the Applied Maths syllabus for Class 11 that deals with applications of mathematical methods. You might have come across this topic in the regular Maths syllabus, but in Applied Maths it is different.

Let us understand in-depth about CBSE Class 11 Applied Maths Coordinate Geometry topic, important questions asked in this section, and more.

## CBSE Class 11 Applied Maths Coordinate Geometry

In this topic, you will study geometry which will be beneficial for your career.

• This topic comprises various sub-topics that are Straight lines, Conic sections (circles and parabola), and Introduction to Three - Dimensional Geometry
• The CBSE class 11 applied maths coordinate geometry topic is of 13 marks and consists of 20 periods.
• Students will study the basics and main of the sub-topics i.e. straight lines, conic section, introduction to three-dimensional geometry. Students should study with full dedication and alertness because if their base is not good in coordinate geometry then in the future they will face problems in their higher education after graduating from school.
• The coordinate geometry weightage in applied mathematics class 11 is 13 marks which includes 20 periods from all three subtopics.
• The preferred book for CBSE class 11 Applied Maths Coordinate Geometry is NCERT only.

### What is Coordinate Geometry in CBSE Class 11 Applied Maths?

This subject is designed to develop significant mathematical skills and methods needed in other subject areas. Topics covered in two years aim to enable students to use mathematical knowledge in the field of business, economic and social sciences. It aims to promote appreciation of mathematical power and simplicity for its countless applications in diverse fields.

• It will help you to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences.
• To model real-world experiences/problems into mathematical expressions using numerical/algebraic/graphical representation.
• To make sense from the data by organizing, representing, interpreting, analyzing, and making meaningful inferences from the real-world situations
• To develop logical reasoning skills and apply the same in simple problem solving
• To reinforce mathematical communication by formulating conjectures, validating logical arguments, and testing hypothesis
• To make connections between Mathematics and other disciplines.

### CBSE Class 11 Applied Maths Coordinate Geometry Syllabus

In class 11 coordinate geometry you will be studying only three topics that are Straight Lines, Conic sections (Circles and parabola), Introduction to Three - Dimensional Geometry. The coordinate geometry holds a weightage of 13 marks in the CBSE class 11 Applied Maths subject.

The table below shows the CBSE class 11 Applied Maths Coordinate Geometry Syllabus 2020-21: -

 Topics Explanation of Topics Straight Lines Brief recall of two-dimensional geometries from earlier classes, Shifting of origin Slope of a line and angle between two lines Various forms of equations of a Line − Parallel to axis, Point-slope form, Slope-intercept form, Two-point form, Intercept form, Normal form, General equation of a line, Equation of family of lines passing through the point of intersection of two lines, Distance of a point from a line Conic Sections Sections of a cone − Circles, Ellipse, Parabola, Hyperbola − a point, a straight line and a pair of intersecting lines as a degenerate case of a conic section. Standard equations and simple properties of − Parabola Ellipse Hyperbola & Standard equation of a circle Introduction to Three - Dimensional Geometry Coordinate axes and coordinate planes in three dimensions, Coordinates of a point Distance between two points and section formula

### CBSE Class 11 Applied Maths Coordinate Geometry Notes PDF

• Students will get the notes for the CBSE class 11 applied maths coordinate geometry in both Hindi and English. It will be beneficial for the students to study from notes in their preferred languages.
• The notes will help you to understand the topics thoroughly and will help you to practice from the topics of coordinate geometry. ### CBSE Class 11 Applied Maths Coordinate Geometry Sample Questions

#### Circles

Q1) How are the points (0, 1), (3, 1) and (1, 3) situated with respect to the circle x 2 + y 2 – 2x – 4y + 3 = 0?

Q2) Obtain the equation of the circle orthogonal to both the circles x 2 + y 2 + 3x – 5y + 6 = 0 and 4x 2 + 4y 2 – 28x + 29 = 0 and whose centre lies on the line 3x + 4y + 1 = 0.

Q3) The chords of contact of the pair of tangents drawn from each point on the line 2x + y = 4 to the circle x 2 + y 2 = 1 pass through a fixed point.

#### Straight Lines

Q1) Find the equation of the straight line which makes an angle of 15° with the positive direction of the x-axis and which cuts an intercept of length 4 on the negative direction of the y-axis.

Q2) Reduce the line 2x – 3y + 5 = 0, in slope intercept, intercept and normal form

Q3) Three lines x + 2y + 3 = 0, x + 2y – 7 = 0 and 2x – y – 4 = 0 form 3 sides of two squares. Find the equation of remaining sides of these squares.

The students will get an option to choose between Mathematics and Applied Mathematics in Class 11. So, the students from the humanities stream should opt for Applied mathematics because it will be beneficial for them in their higher study also after completing their schooling.
The students who are strong with engineering concepts, they can easily solve both pure and applied mathematics questions. But the humanities and commerce stream students, they can solve applied mathematics questions easily and the pure mathematics question will be harder for them.

The students will be studying the following topics in the applied mathematics coordinate geometry

• Straight lines
• Conic sections (Circles and Parabola)
• Introduction to Three - Dimensional Geometry
The coordinate geometry topic holds a weightage of 13 marks in applied maths subject.
• Home
• CBSE Class 11 Applie...

# CBSE Class 11 Applied Maths Coordinate Geometry: Topics & Preparation

Author : Palak Khanna

Updated On : March 3, 2022

SHARE

CBSE has introduced Applied Maths as a new subject in their curriculum. Coordinate geometry is one of the topics included in the Applied Maths syllabus for Class 11 that deals with applications of mathematical methods. You might have come across this topic in the regular Maths syllabus, but in Applied Maths it is different.

Let us understand in-depth about CBSE Class 11 Applied Maths Coordinate Geometry topic, important questions asked in this section, and more.

## CBSE Class 11 Applied Maths Coordinate Geometry

In this topic, you will study geometry which will be beneficial for your career.

• This topic comprises various sub-topics that are Straight lines, Conic sections (circles and parabola), and Introduction to Three - Dimensional Geometry
• The CBSE class 11 applied maths coordinate geometry topic is of 13 marks and consists of 20 periods.
• Students will study the basics and main of the sub-topics i.e. straight lines, conic section, introduction to three-dimensional geometry. Students should study with full dedication and alertness because if their base is not good in coordinate geometry then in the future they will face problems in their higher education after graduating from school.
• The coordinate geometry weightage in applied mathematics class 11 is 13 marks which includes 20 periods from all three subtopics.
• The preferred book for CBSE class 11 Applied Maths Coordinate Geometry is NCERT only.

### What is Coordinate Geometry in CBSE Class 11 Applied Maths?

This subject is designed to develop significant mathematical skills and methods needed in other subject areas. Topics covered in two years aim to enable students to use mathematical knowledge in the field of business, economic and social sciences. It aims to promote appreciation of mathematical power and simplicity for its countless applications in diverse fields.

• It will help you to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences.
• To model real-world experiences/problems into mathematical expressions using numerical/algebraic/graphical representation.
• To make sense from the data by organizing, representing, interpreting, analyzing, and making meaningful inferences from the real-world situations
• To develop logical reasoning skills and apply the same in simple problem solving
• To reinforce mathematical communication by formulating conjectures, validating logical arguments, and testing hypothesis
• To make connections between Mathematics and other disciplines.

### CBSE Class 11 Applied Maths Coordinate Geometry Syllabus

In class 11 coordinate geometry you will be studying only three topics that are Straight Lines, Conic sections (Circles and parabola), Introduction to Three - Dimensional Geometry. The coordinate geometry holds a weightage of 13 marks in the CBSE class 11 Applied Maths subject.

The table below shows the CBSE class 11 Applied Maths Coordinate Geometry Syllabus 2020-21: -

 Topics Explanation of Topics Straight Lines Brief recall of two-dimensional geometries from earlier classes, Shifting of origin Slope of a line and angle between two lines Various forms of equations of a Line − Parallel to axis, Point-slope form, Slope-intercept form, Two-point form, Intercept form, Normal form, General equation of a line, Equation of family of lines passing through the point of intersection of two lines, Distance of a point from a line Conic Sections Sections of a cone − Circles, Ellipse, Parabola, Hyperbola − a point, a straight line and a pair of intersecting lines as a degenerate case of a conic section. Standard equations and simple properties of − Parabola Ellipse Hyperbola & Standard equation of a circle Introduction to Three - Dimensional Geometry Coordinate axes and coordinate planes in three dimensions, Coordinates of a point Distance between two points and section formula

### CBSE Class 11 Applied Maths Coordinate Geometry Notes PDF

• Students will get the notes for the CBSE class 11 applied maths coordinate geometry in both Hindi and English. It will be beneficial for the students to study from notes in their preferred languages.
• The notes will help you to understand the topics thoroughly and will help you to practice from the topics of coordinate geometry. ### CBSE Class 11 Applied Maths Coordinate Geometry Sample Questions

#### Circles

Q1) How are the points (0, 1), (3, 1) and (1, 3) situated with respect to the circle x 2 + y 2 – 2x – 4y + 3 = 0?

Q2) Obtain the equation of the circle orthogonal to both the circles x 2 + y 2 + 3x – 5y + 6 = 0 and 4x 2 + 4y 2 – 28x + 29 = 0 and whose centre lies on the line 3x + 4y + 1 = 0.

Q3) The chords of contact of the pair of tangents drawn from each point on the line 2x + y = 4 to the circle x 2 + y 2 = 1 pass through a fixed point.

#### Straight Lines

Q1) Find the equation of the straight line which makes an angle of 15° with the positive direction of the x-axis and which cuts an intercept of length 4 on the negative direction of the y-axis.

Q2) Reduce the line 2x – 3y + 5 = 0, in slope intercept, intercept and normal form

Q3) Three lines x + 2y + 3 = 0, x + 2y – 7 = 0 and 2x – y – 4 = 0 form 3 sides of two squares. Find the equation of remaining sides of these squares.

The students will get an option to choose between Mathematics and Applied Mathematics in Class 11. So, the students from the humanities stream should opt for Applied mathematics because it will be beneficial for them in their higher study also after completing their schooling.
The students who are strong with engineering concepts, they can easily solve both pure and applied mathematics questions. But the humanities and commerce stream students, they can solve applied mathematics questions easily and the pure mathematics question will be harder for them.

The students will be studying the following topics in the applied mathematics coordinate geometry

• Straight lines
• Conic sections (Circles and Parabola)
• Introduction to Three - Dimensional Geometry
The coordinate geometry topic holds a weightage of 13 marks in applied maths subject.