JEE Main 2024 Mathematics question
If 2 and 6 are the roots of the equation ax² + bx + 1 = 0, then the quadratic equation, whose roots are and , is-
Answer: (D)
Solution
a = 1/12 and b = −2/3, so 2a + b = −1/2 and 6a + b = −1/6; the required roots are −2 and −6, giving x² + 8x + 12 = 0.