If 3xx-ax-b=2x-a+1x-b then a:b=

3xx-ax-b=2x-a+1x-b3x=2(x-b)+1(x-a)3x=3x-2b-aa=-2b⇒ab=-2a : b=-2 : 1

If 3xx-ax-b=2x-a+1x-b then a:b=

3xx-ax-b=2x-a+1x-b3x=2(x-b)+1(x-a)3x=3x-2b-aa=-2b⇒ab=-2a : b=-2 : 1

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$If \frac{3 x}{(x - a) (x - b)} = \frac{2}{x - a} + \frac{1}{x - b} then a : b =$

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3 : 1

-2 : 1

1 : 3

1 : 2

answer is B.

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Detailed Solution

$\begin{array}{rcl} \frac{3 x}{(x - a) (x - b)} & = & \frac{2}{x - a} + \frac{1}{x - b} \\ 3 x & = & 2 (x - b) + 1 (x - a) \\ 3 x & = & 3 x - 2 b - a \\ a & = & - 2 b \Rightarrow \frac{a}{b} = - 2 \\ a : b & = & - 2 : 1 \end{array}$

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