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If x=sin^(-1)(3t-4t^3) and y=cos^(-1) sq...

If `x=sin^(-1)(3t-4t^3)` and `y=cos^(-1) sqrt(1-t^2)` then `(dy)/(dx)=`

A

`(1)/(2)`

B

`(2)/(5)`

C

`(3)/(5)`

D

`(1)/(3)`

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The correct Answer is:
D
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 23-Paper-2(MATHEMATICS)
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  3. If a line makes angle alpha, beta and gamma with the coordinate axes r...

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  4. If 2x-4y=9 and 6x-12y+7=0 are parallel tangents to circle, then radiu...

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  5. A proposition is called a taulogoy, if it

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  6. A=[{:(0,3),(2,0):}] and A^(-1)=lambda (adj, A) then lambda is equal to

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  7. The equation of the straight line joining the origin to the point of i...

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  8. The valume of the parallelopiped whose coterminous edges are hati-hatj...

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  9. The circles x^(2)+y^(2)-6x-8y=0 and x^(2)+y^(2)-6x+8=0 are

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  10. The points of discontinuity of tan x are

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  11. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

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  12. int(0)^(1) (tan^(-1)x)/(x) dx equals

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  13. The order and degree of the differential equation (1+3(dy)/(dx))^(2//3...

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  14. The sum of the integers from 1 to 100 which are not divisible by 3 or ...

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  15. The value of x(1).(x(1)'+x(2)) is

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  16. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

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  17. int sec^(4)x cosec^(2)x dx is equal to

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  18. y=sin^(-1)[sqrt(x-a x)-sqrt(a-a x)]

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  19. A coin is tossed 5 times. The probability that at least one head turns...

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  20. The constraints -x(1)+x(2)lt 1, -x(1)+3x(2)le9, x(1), x(2)gt, 0 difine...

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