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If y= cot ^(-1)""(b-ax)/(a+bx), then the...

If `y= cot ^(-1)""(b-ax)/(a+bx),` then the value of `(dy)/(dx)` is-

A

1

B

`(1)/(a+x^(2))`

C

`-1`

D

`-(1)/(1+x^(2))`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 6
  1. If phi is the empty set then which one of the following is correct ?

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  2. Let f (x)= [x] where [x] denotes the greatest integer contained in x. ...

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  3. Let A, B, C be any three non-empty sets. If A uuB= A uuC, then which o...

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  4. Suppose S and S' are foci of the dllipse (x^(2))/(25) + (y^(2))/(16) =...

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  5. In a class containing 120 students, 65 students dring tea and 84 stude...

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  6. The number of elements in the set {(a,b), 2a^(2) +3b^(2) =35, a, b, in...

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  7. Which one of the following is correct for the graph of y=|x| ?

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  8. The value of lim (hto0) 1/h[(1)/(""^(3)sqrt(8+h))-1/2] is-

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  9. If f, RR to RR is defined by f (x) ={{:((x-2)/(x ^(2) -3x+2)"," ,"when...

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  10. If f(x) =lx ^(2) +mx+n, then the value of (f(x+3) -f(x))/(f(x+2)-f(x+1...

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  11. If n is any integer, then all the points at which the function f (x) =...

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  12. If f (x) ={{:(x",", "when " 0 lt x lt 1),(2-x",", "when" 1 lt x le 2):...

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  13. If the function f (x) is differentiable at x=h, then the value of lim(...

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  14. If y= cot ^(-1)""(b-ax)/(a+bx), then the value of (dy)/(dx) is-

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  15. If l(x) is the least interger not less than x and g(x) is the greatest...

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  16. If f (2x+3) =sin x+2^(x), then the value of f (4m-2n+3) is-

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  17. Let f (x) {{:((sin 5x)/(x ^(2) +2x)",", "when" x ne0),(k +1/2",","when...

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  18. If f (x) =(alphax)/(x+1) (x ne -1), then the value of alpha for which ...

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  19. The deerivative of y=(1-x) (2-x) ..(n-x) at x=1 is equal to-

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  20. If y=f{f(x)} , f(0) =0 and f'(0)=5, then the value of [(dy)/(dx)](x=0)...

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