Question

If the roots of the quadratic equation `x^(2) - 3x - 304 = 0` are `alpha` and `beta`, then the quadratic equation with roots `3alpha` and `3beta` is
A. `x^(2) + 9x - 2736 = 0`
B. `x^(2) - 9x - 2736 = 0`
C. `x^(2) - 9x+ 2736 = 0`
D. `x^(2) + 9x +2736 = 0`

Answer 1

Correct Answer - B
(i) The product equation with thrice the roots of `f(x) = 0` as roots is `f(1/x) = 0`.
(iii) The quadratic equation whose roots are m times of the roots of the equation `f(x) = 0` is `(-1)/(12), (55)/(18) = 0`