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f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt...

`f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt 5):}` is continuous, find k

A

44379

B

44380

C

44381

D

44234

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The correct Answer is:
D
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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
  1. A box contains 6 red numbers from 1 through 6 and 4 white marbles ...

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  2. lim(x rarr 0) (1- cos x)/(x^(2)) is :

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  3. f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt 5):} is continuous, find k

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  4. If f(x)=2x^(2), find (f(3.8)-f(4))/(3.8-4) :

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  5. If x = ct and y = c/t , find (dy)/(dx) at t = 2 .

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  6. A balloon which always remains spherical is being inflated by pumping ...

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  7. int (sin^(2)x)/(1+cos x) dx is equal to

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  8. Evaluate : int e^(x) ((1 + sin x)/( 1+ cos x)) dx

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  9. If 1, w, w^(2) are three cube roots of unity, then (1 - w+ w^(2)) (1 +...

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  10. Solve for x tan^(-1) ((1-x)/(1+x))=(1)/(2) tan^(-1)x, x gt 0

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  11. The system of linear equations x+y+z = 6, x+2y+3z = 10 and x + 2y +az ...

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  12. The value of tan (1^(@)) + tan (89^(@)) is

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  13. If ((x+1)^(2))/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1) then "cosec"^(-1) (1/A...

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  14. The remainder obtained when 1! + 2! + 3!+….+ 11! is divided by 12 is

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  15. If alpha le 2 sin^(-1) x + cos^(-1) x le beta, then

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  16. If A= [(0,1),(1,0)], then A^(2) equal to

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  17. The function f(x)= [x], where [x] denotes greatest integer function is...

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  18. If y= log ((1-x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to

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  19. The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2

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  20. If x is real, the minimum value of x^(2)-8x+17 is :

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