If and are the roots of and

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

9. If

a

and

b

are the roots of

x^{2}-3 x+p=0

and

c

d

are roots of

x^{2}-12 x+q=0

, where

a, b, c, d

form a G.P. Prove that

(q+p):(q-p)=17: 15