MCQ
If ${{3x + 4} \over {{x^2} - 3x + 2}} = {A \over {x - 2}} - {B \over {x - 1}}$,then $(A,\,B) = $
  • A
    $(7, 10)$
  • $(10, 7)$
  • C
    $(10, -7)$
  • D
    $(-10, 7)$

Answer

Correct option: B.
$(10, 7)$
b
(b) $3x + 4 = A(x - 1) - B(x - 2)$

$ \Rightarrow $ $3=A-B,$ $4 = - A + 2B$

$ \Rightarrow $ $A = 10,\,\,\,B = 7$

$\therefore (A,\,B) = (10,\,7)$.

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