If a,b,c are real numbers in G.P. such that a and c are positive, then the roots of the equation ax^2+bx+c=0

JEE Main Mathematics question

If are real numbers in G.P. such that and are positive, then the roots of the equation

(A)Are real and are in ratio
(B)Are real
(C)Are imaginary and are in ratio , where is a complex cube root of unityCorrect
(D)Are imaginary and are in ratio

Answer: (C)

With and ( real, ), , so the roots are imaginary. The roots are

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-014165