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Question

For what value of p, when x=a is a solution of equation x2−(a+b)x+p=0?

A
ab
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B
a2
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C
ab
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D
b2
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Solution

The correct option is C ab
We intend to have x=a as a solution to the equation x2(a+b)x+p=0
Substituting x=a should satisfy the given equation and so, when we do so, we get a2(a+b)a+p=0
a2a2ab+p=0
p=ab

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