Question

If the zeroes of the polynomial `ax^2+bx+(2a)/b` are reciprocal of each other, then the value of b is ______.

Options

• 2

• `1/2`

• −2

• `-1/2`

Answer 1

If the zeroes of the polynomial `ax^2+bx+(2a)/b` are reciprocal of each other, then the value of b is 2.

Explanation:

P(x) = `ax^2+bx+(2a)/b`

⇒ `α. 1/α = c/a`

⇒ 1 = `((2a)/b)/(a/1)`

⇒ `1/1= 2/b`

⇒ b = 2