JEE Main 2019 Mathematics question

If three distinct numbers a, b, c are in G.P. and the equations and have a common root, then which one of the following statements is correct?

• (A)d, e, f are in A.P.
• (B) are in A.P.Correct
• (C)d, e, f are in G.P.
• (D) are in G.P.