A quadratic equation whose product of roots x1 & x2 is equal to 4 and satisfying the relation x1/x1-1 + x2/x2-1 is

Question

A quadratic equation whose product of roots x₁ & x₂ is equal to 4 and satisfying the relation \(\frac{x_1}{x_1-1} + \frac{x_2}{x_2 -1} =2\) is

a. x² – 2x + 4 = 0

b. x² + 2x + 4 = 0

c. x² + 4x + 4 = 0

d. x² – 4x + 4 = 0

Answer 1

Correct option is a. x² – 2x + 4 = 0