Updated On : June 8, 2023
In most of the entrance exams, you will have a mathematics section that includes questions from various concepts and the quadratic equation is one of the essential topics in the Mathematics subject.
It might look complex, but you can solve them in no time if you apply the correct formulas and the right methods.
This post will take you through the essential questions for DU JAT and IPMAT entrance exams.
Several examples of important questions, solutions, and practice papers are offered in the blog.
Quadratic equations are a type of equation in algebra that can be rearranged in standard form as ax^{2}+bx+c=0 where x represents an unknown, and a, b, and c represent known numbers, and a ≠ 0.
If a = 0, the equation is linear, not quadratic, as there is no ax^2 term.
Examples of the standard form of a quadratic equation (ax² + bx + c = 0) include:
You can solve below questions using various methods; one such is by factorization.
For more questions, download the pdf below, which includes questions and solutions. Enhance your preparation for DU JAT by solving these questions and score good marks in the mathematics section.
Here is the list of formulas that you can use to solve DU JAT Questions.
Download Quadratic Equation Questions PDF
Here is the list of questions curated from previous year's DU JAT Question Papers. The subject mentor from Supergrads has solved the questions below with a detailed explanation.
Solve these quadratic equations and enhance your preparation for the upcoming DU JAT exam.
1. If 𝛼 ≠ 𝛽 but α 2 = 5α − 3 and β 2 = 5β − 3 then the equation whose roots are 𝛼/𝛽 and 𝛽/𝛼 is
2. Difference between the corresponding roots of x 2 + ax+ b = 0 and x 2 + bx + 𝑎 = 0 is same and 𝑎 ≠ 𝑏, then
3. If p and q are the roots of the equation x2 + px + q = 0 then
4. If a , b , c are distinct positive real numbers and a2 + b 2 + c 2 = 1 then 𝑎𝑏 + 𝑏𝑐 + 𝑐𝑎 is
5. The value of a for which one root of the quadratic equation (a2 2 − 5a+ 3)x 22 + (3a − 1)x + 2 = 0 is twice as large as the other is
6. If the sum of the roots of the quadratic equation ax2 +bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in
7. Let two numbers have an arithmetic mean nine and geometric mean 4 . Then these numbers are the roots of the quadratic equation
8. If (1 −𝑝) is a root of quadratic equation x2 + 𝑝𝑥 +(1 −𝑝) = 0 then its roots are
9. If one root of the equation x2+ 𝑝𝑥 + 12 = 0 is 4 while the equation x 2 + 𝑝𝑥 + 𝑞 = 0 has equal roots, then the value of q is
10. If the roots of the equation x2 −𝑏𝑥 + 𝑐 = 0 be two consecutive integers, then b 2 −4𝑐 equals
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