Question

If the roots of the equation \[ x^3+3px^2+3qx+r=0 \] are in geometric progression, then:

• A. \(p^3r+q^3=0\)
• B. \(p^3r-q^3=0\)
• C. \(p^3+rq^2=0\)
• D. \(p^3-rq^2=0\)

Hint:

For cubic roots in G.P., assume roots as \(\frac{a}{k},a,ak\) and apply Vieta's formula.

Answer 1

The Correct Option is B