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

If f(x) ={`x^2-1, 0 lt x lt 2` , `2x+3 , 2 le x lt 3`then the quadratic equation whose roots are `lim_(x->2^+)f(x)` and `lim_(x->2^-)f(x)` is

A

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

B

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

C

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

D

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

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The correct Answer is:

D

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