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Question

If x−4x2−5x−2k=2x−2−1x+k , then k=

A
3
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B
1
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C
2
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D
3
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Solution

The correct option is B 3
writing x4x25x2k in the partial fractions
we get 2x21x+k (given RHS)
So, 2 is one of the solution of
f(x)=x25x2k=0
because 1(x2) is term in partial fraction.
So, f(2)=4102k=0
k=3
the value of k=3

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