Which of the following is a quadratic polynomial whose sum of zeroes and product of zeroes are respectively 0 and √5?

Question

Question

This question was previously asked in

Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)

Answer 1

Calculations:

Let the roots of the Equations be α, β

Hence, According to the Question

α + β = 0

α × β = √5

The Quadratic Equation in the form of rooots

x² - (α + β)x + αβ = 0

x² - 0 + √5 = 0

x2 + √5 = 0

Hence, The Correct option is 3.