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If f(x) is continuous at x=2, where f(...

If `f(x)` is continuous at `x=2`, where `f(x)={:{((x^(2)-(a+2)x+a)/(x-2)", for " x!=2),(2", for " x=2):}`, then `a=`

A

2

B

-1

C

1

D

0

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The correct Answer is:
D
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NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
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  5. If f(x) is continuous at x=-2, where f(x)=(2)/(x+2)+(1)/(x^(2)-2x+4)-...

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  6. If f(x) is continuous at x=1, where f(x)=(x^(n)-1)/(x-1), for x != 1...

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  7. If f(x) is continuous at x=1, where f(x)=((x+3x^(2)+5x^(3)+...+(2n-1)...

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  14. If f(x) is continuous at x=2a, where f(x)=(sqrt(x)-sqrt(2a)+sqrt(x-2a)...

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  17. If f(x) is continuous at x=0, where f(x)=sin x-cos x, for x!=0, then ...

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  18. If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...

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  19. If f(x) is continuous at x=pi/4, where f(x)=(1-tanx)/(1-sqrt(2)sin x),...

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  20. If f(x) is continuous at x=0, where f(x)=(sin (pi cos^(2)x))/(x^(2)), ...

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