(x - a)(x - b) (x - c)(x - d) = A x - c - B (x - d) + C, then C = - Vidyadip

MCQ

${{(x - a)(x - b)} \over {(x - c)(x - d)}} = {A \over {x - c}} - {B \over {(x - d)}} + C$, then $C =$

A
$5$
B
$4$
C
$3$
✓
$1$

✓

Answer

Correct option: D.

$1$

d
(d) $A(x - d) - B(x - c) + C(x - c)\,(x - d) = (x - a)$$(x - b)$

Equating coefficient of ${x^2},\,C = 1$.

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