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if f(x)={:{(x^(2)-1",",,0 lt xlt 2),(2x+...

if `f(x)={:{(x^(2)-1",",,0 lt xlt 2),(2x+3",",,2le x lt 3):}`, then the quadratic equation whose roots are `lim_(xto2^(-))` f(x) and lim `(f_(x))_(xto2^(+))` 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`

Text Solution

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The correct Answer is:
D
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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
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  14. Let g(x) = log f(x), where f(x) is a twice differentiable positive fun...

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  16. If underset(xto0)lim[1+xln(1+b^(2))]^(1//x)=2bsin^(2)theta,bgt0," and ...

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  18. If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then

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  19. Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...

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