Question

If three distinct numbers a,b and c are in GP and the equation ax2+2bx+c=0 and dx2+2ex+f=0 have a common root, then which of the following statements is correct?

• A. d,e,f are in A.P
• B. $\frac{d}{a},\frac{e}{b},\frac{f}{c}$ are in A.P
• C. d,e,f are in G.P
• D. $\frac{d}{a},\frac{e}{b},\frac{f}{c}$ are in G.P

Answer 1

Answer: (B)

$\frac{d}{a},\frac{e}{b},\frac{f}{c}$ are in A.P

Answer 2

a,b, and c are three distinct numbers and from the equation –