JAMIA 2026 — Mathematics PYQ

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Question

JAMIA 2026 — Mathematics PYQ

JAMIA | Mathematics | 2026

If $α$ and $β$ are the roots of $3 x^{2} + 9 x = 12$ , then the value of $(α β)$ is

Choose the correct answer:

Explanation

Step 1: Write the given equation in standard form ( $a x^{2} + b x + c = 0$ )

The provided equation is:

$3 x^{2} + 9 x = 12$

Bring $12$ to the left side to set the right side to zero:

$3 x^{2} + 9 x - 12 = 0$

Step 2: Identify the coefficients

By comparing our equation with the general quadratic standard form $a x^{2} + b x + c = 0$ , we extract:

$a = 3$
$b = 9$
$c = - 12$

Step 3: Calculate the product of the roots ( $α β$ )

Using the formula for the product of roots:

$α β = \frac{c}{a}$

Substitute the values of $c$ and $a$ :

$α β = \frac{- 12}{3}$

$α β = - 4$

Correct Answer

The correct option is (d) $- 4$ .