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If the function f:R to R given by f...

If the function `f:R to R ` given by
`f(x)={(x+a"," , "if "x le 1),(3-x^(2)",","if " x gt1):}` is continuous at x = 1, then a is equal to

A

2

B

1

C

4

D

3

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
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  2. If f(x)={(sqrt(1+k x)-sqrt(1-k x))/x for 1 le x< 0 and 2x^2+3x-2 for...

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  3. If the function f:R to R given by f(x)={(x+a"," , "if "x le 1),(3...

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  4. If f(x)={:{(ax^(2)-b", for " 0 le x lt1),(2", for " x=1),(x+1", for " ...

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  5. If the derivative of the function f(x) ={ax^2+b , x lt -1 and bx^2 ...

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  6. If f(x) is continuous at x=2, where f(x)={:{(4x-3", for " x lt 2),(kx...

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  7. If f(x) is continuous at x=0, where f(x)={:{((1-cos 4x)/(x^(2))", for...

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  8. If f(x) is continuous at x=0, where f(x)={:{((sin 4x)/(5x)+a", for " ...

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  9. If f(x) = (sin pi x)/(x-1)+a, " for " x lt 1 = 2 pi , " for " x= 1 ...

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  10. Let f(x)={{:(,sin2x,0 lt x le xpi//6),(,ax+b,pi//6 lt x lt 1):} If f(x...

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  11. Determine the values of a , b , c for which the function f(x)={(sin(a+...

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  12. Determine the values of a , b , c for which the function f(x)={(sin(a+...

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  13. If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for...

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  14. Find the values of a and b so that the function f(x)={{:(x+asqrt2...

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  15. Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"fo...

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  16. If the function f(x) is continuous in the interval [-2, 2]. find the ...

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  17. If f(x) is continuous in (-oo, 6), where f(x)={: {(1+sin ((pi x)/(2))...

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  18. If f(x)={(ax+1",", x le (pi)/(2)),(sinx+b",", x gt (pi)/(2)):} is cont...

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  19. If f(x)={:{((e^(1/x)-1)/(e^(1/x)+1)", for " x !=0),(1", for " x=0):}, ...

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  20. If f(x) is continuous at x=0, where f(x){:{((1)/(1+e^(1/x))", for " x...

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