Question

If positive numbers a, b, c be in H.P, the equation x² – kx + 2b¹⁰¹ – a¹⁰¹ – c¹⁰¹ = 0 (k ε R) has

a. both roots imaginary

b. one root is positive and other is negative

c. both roots positive

d. both roots negative

Answer 1

Correct option is b. one root is positive and other is negative