Question

# Let f(x) = x2-1, 0 0<x<2 and 2x+3, 2≤x<3, The quadratic equation whose roots are limx→2−f(x),and limx→2+f(x)

A

x2 -6x+9=0

B

x2-10x+21=0

C

x2-14x+49=0

D

$x^2-10x+49=0$

Solution

## The correct option is A x2-10x+21=0 limx→2−0f(x), limx→2−0(x2−1)=22−1=3limx→2−0f(x), limx→2−0(2x+3)=2×2+3=7∴Required quadratic equation is x2−10x+21=0Hence (b)is the correct answer Mathematics

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