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If y = tan^(-1) (sec x - tan x ) , "the...

If ` y = tan^(-1) (sec x - tan x ) , "then" (dy)/(dx)` is equal to

A

2

B

-2

C

`(1)/(2)`

D

`-(1)/(2)`

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The correct Answer is:
d
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 24-Paper 2 (Mathmatics)
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  4. int(0)^(8)|x-5|dx=17

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  5. Let A = {1, 2, 3, 4) and R be the relation on A defined by {(a, b) : a...

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  6. Which of the following is not a statement ?

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  7. The number of point at which the function f(x)=|x-1|+[x-2]+cosx, where...

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  8. The radius of a cylinder is increasing at the rate of 3ms^(-1) and its...

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  9. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is (...

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  10. Find the output for the given input for the given circuit

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  11. Let S be set of all real numbers and let R be relation on s , de...

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  12. If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = ...

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  13. If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...

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  14. A letter is taken out at random from 'ASSISTANT and another is taken o...

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  15. IF t is a parameter, then x = a(t + (1)/(t)) and y = b(t - (1)/(t)) re...

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  16. int(x^(2) - 1)/(x^(4) + x^(2) + 1) dx is equal to

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  17. int(-1)^(0) (dx)/(x^(2) + 2x + 2 ) is equal to

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  18. The number of normals drawn to the parabola y^2 =4x from the point (1,...

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  19. If A, B, C are the vertices of a triangle whose position vectros are v...

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  20. If y="sec"(tan^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) ...

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