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If f(x) = {{:(x^(2)-1,0ltx lt2),(2x+3, 2...

If f(x) = `{{:(x^(2)-1,0ltx lt2),(2x+3, 2 lt=x lt3):}` then quadratic equation whose roots are `lim_(x rarr 1 ) ` f(x) and `lim_(x rarr 2^(+))` f(x is

A

`x^(2) -6x + 9=0 `

B

`x^(2) -7x+8 =0`

C

`x^(2) -14 x +49 =0`

D

`x^(2) -10x 21 =0`

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The correct Answer is:
D
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