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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 x−4x2−5x−2k in the partial fractions we get 2x−2−1x+k (given RHS) So, 2 is one of the solution of f(x)=x2−5x−2k=0 because 1(x−2) is term in partial fraction. So, f(2)=4−10−2k=0 k=−3 the value of k=−3