Question

If the roots of the cubic equation \( ax^3 + bx^2 + cx + d = 0 \) are in GP, then

• A. \( c^3 a = b^3 d \)
• B. \( c a^3 = b d^3 \)
• C. \( a^3 b = c^3 d \)
• D. \( a b^3 = c d^3 \)

Hint:

For cubic equations with roots in GP, use Vieta's formulas and the properties of GP to relate the coefficients and find the required relations.

Answer 1

The Correct Option is A