If and are positive numbers in a GP, then the roots of the quadratic equation are
Explanation for the correct option:
Step 1. Find the roots of given quadratic equation:
and are in G.P
Given equation is
Step 2. Put in the given equation, we get
, which is true
Thus, one of the root of this equation is .
Step 3. Let another root be :
Sum of the roots,
Hence, the roots of given quadratic equation are