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Question

Let f(x) = x2-1, 0 0<x<2 and 2x+3, 2x<3, The quadratic equation whose roots are limx2f(x),and limx2+f(x)



A

x2 -6x+9=0

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B

x2-10x+21=0

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C

x2-14x+49=0

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D

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Solution

The correct option is A

x2-10x+21=0


limx20f(x), limx20(x21)=221=3limx20f(x), limx20(2x+3)=2×2+3=7Required quadratic equation is x210x+21=0Hence (b)is the correct answer


Mathematics

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