One of the roots of `ax^(2) + bx + c = 0` is greater than 2 and the other is less than -1. If the roots of `cx^(2) + bx + a = 0` are `alpha and beta`, then

Options

A. `0 lt alpha lt 1/2 and -1 lt beta lt 0`
B. `alpha lt 1/2 and beta lt -1`
C. `alpha gt 1/2 and beta gt -1`
D. `alpha lt 2 and beta gt -1`

Answer

1

Explanation

Roots of `ax^(2) + bx + c = 0 and cx^(2) + bx + a = 0` are reciprocals of each other.
Hence, `alpha lt 1/2 and beta gt - 1`.