Question

If a root to the given equation a $a(b-c)x^2+b(c-a)x+c(a-b)=0$ is 1, then the other will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Let $\alpha$ = 1 and the other root is $\beta$, then product of roots 1.

$B=\frac{c(a-b)}{a(b-c)}\Rightarrow \beta =\frac{c(a-b)}{a(b-c)}$