Question

Match List I with List II : **List I (Quadratic equations)** (A) $12x^2 - 7x + 1 = 0$ (B) $20x^2 - 9x + 1 = 0$ (C) $x^2 + 17x + 52 = 0$ (D) $2x^2 + 11x + 12 = 0$ **List II (Roots)** (I) $\{-13, -4\}$ (II) $\{\frac{1}{3}, \frac{1}{4}\}$ (III) $\{-4, -\frac{3}{2}\}$ (IV) $\{\frac{1}{5}, \frac{1}{4}\}$ Choose the correct answer from the options given below :

Accepted Answer

D. - (A) $12x^2 - 7x + 1 = 0 \implies (3x-1)(4x-1) = 0 \implies x = \left\{\frac{1}{3}, \frac{1}{4}\right\}$ (II) - (B) $20x^2 - 9x + 1 = 0 \implies (4x-1)(5x-1) = 0 \implies x = \left\{\frac{1}{5}, \frac{1}{4}\right\}$ (IV) - (C) $x^2 + 17x + 52 = 0 \implies (x+13)(x+4) = 0 \implies x = \{-13, -4\}$ (I) - (D) $2x^2 + 11x + 12 = 0 \implies (x+4)(2x+3) = 0 \implies x = \left\{-4, -\frac{3}{2}\right\}$ (III)

Match Quadratic Equations with Roots

Explanation

Practise this under exam conditions