The two roots of the equation $a (b - c) x^{2} + b (c - a) x + c (a - b) = 0$ are 1 and:

\frac{b (c - a)}{a (b - c)}

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\frac{a (b - c)}{c (a - b)}

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\frac{a (b - c)}{b (c - a)}

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\frac{c (a - b)}{a (b - c)}

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\frac{c (a - b)}{b (c - a)}

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Solution

The correct option is C $\frac{c (a - b)}{a (b - c)}$
Question should be: $a (b - c) x^{2} + b (c - a) x + c (a - b) = 0$

Given one root is 1 and let other root be $α$

Product of roots = $1. α = \frac{c (a - b)}{a (b - c)}$

$∴$ other root = $α = \frac{c (a - b)}{a (b - c)}$

Suggest Corrections

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