If 2 and 6 are the roots of the equation

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

ax^2 + bx + 1 = 0

, then the quadratic equation, whose roots are

\frac{1}{2a+b}

and

\frac{1}{6a+b}

, is: (A)

2x^2 + 11x + 12 = 0

(B)

4x^2 + 14x + 12 = 0

(C)

x^2 + 10x + 16 = 0

(D)

x^2 + 8x + 12 = 0