If and are positive numbers in a GP, then the roots of the quadratic equation are
and
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
Hence, one of the root of this equation is
Step 3. Let another root be :
Sum of the roots,
Thus, the roots of given quadratic equation are
Hence, Option ‘C’ is Correct.