Question

If the ratio of the roots of the equation $x^2$+px+q=0 be equal to the ratio of the roots of $x^2$+lx+m=0. Then

• A. p$m^2$ = $q^2$ l
• B. $p^2$ l = $q^2$ m
• C. $p^2$m = $l^2$ q
• D. $p^2$ m = $q^2$ l

Answer 1

The correct option is D

$p^2$ m = $q^2$ l

Let the ratio of roots be λ:1, then $\frac{(\lambda +1{)}^2}{\lambda }$ = $\frac{p^2}{q}$ = $\frac{l^2}{m}$