Question

If the roots of equation $\frac{x^2-bx}{ax-c}=\frac{m-1}{m+1}$ are equal but opposite in sign, the value of m will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Given equation can be written as

(m + 1)$x^2$ – {m(a + b) – (a – b)}x + c(m – 1) = 0

Roots are equal and of opposite sign.

So sum of roots is equal to zero.

$\Rightarrow 0=m(a+b)-(a-b)\Rightarrow m=\frac{a-b}{a+b}$