jipmat0022 - If () and () are the roots of the equation a x^2+b x+c=0, then b^2 is | PYQs + Solutions

JIPMAT

Algebra

Hard

$c^{2}+2 a c$

$a^{2}+a c$

$a^{2}+2 a c$

$c^{2}+a c$

✅ Correct Option: 3

Related questions:

The factors of polynomial $x^{3}-6 x^{2}+11 x-6$ are :

Given below are two statements:

Statement (I): (x² + 3x + 1) = (x - 2)² is not a quadratic equation.

Statement (II): The nature of roots of quadratic equations x² + 2x√3 + 3 = 0 are real and equal.

In light of the above statements, choose the most appropriate answer from the options given below.

If $\alpha$ and $\beta$ are the roots of the equation $a x^{2}+b x+c=0$ , then value of

$\frac{1}{a \alpha+b}+\frac{1}{a \beta+b}$ is :

JIPMAT 2022 (QA) PYQs