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If x=sin t and y=cos p t, then which of...

If `x=sin t` and `y=cos p t`, then which of the following is true ?

A

`(1-x^(2))y_(2)+xy_(1)+p^(2)y=0`

B

`(1-x^(2))y_(2)+xy_(1)-p^(2)y=0`

C

`(1+x^(2))y_(2)-xy_(1)+p^(2)y=0`

D

`(1-x^(2))y_(2)-xy_(1)+p^(2)y=0`

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
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  2. The value of (d)/(dx) [ tan^(-1){(sqrt(x) (3-x))/(1-3x)}] is -

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  3. If x=sin t and y=cos p t, then which of the following is true ?

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  6. The value of lim(x to 0)(e^(x)-log(e+ex))/(x) is -

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  8. If (sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo))) and x(dy)/(dx) =(f(y))/...

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  9. If x=e^(t)sint and y=e^(t)cost, then the value of (x+y)^(2)(d^(2)y)...

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  10. If y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) then the value of (dy)/(dx) a...

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  12. If f(x) is a differentiable function for all x gt 0 and lim(y to x)(y...

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  13. If y^(2)=4ax, then the value of (d^(2)y)/(dx^(2))*(d^(2)x)/(dy^(2)) i...

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  14. The value of lim(n to oo) (1^(p)+2^(p)+3^(p)+…+n^(p))/(n^(p+1)) is -

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  15. The value of int(0)^(1.5)[x^(2)]dx is -

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  16. If I(n)=int(0)^((pi)/(4)) tan^(n)x dx, then the value of lim(n to oo...

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  17. The value of int(0)^((pi)/(2)) (sinx dx)/(sin x+cos x) is equal to -

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  18. The value of the integral int(-(pi)/(7))^((pi)/(7))x^(3)sin^(2)x dx is...

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  19. int"cosec"^(4)x dx is equal to -

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  20. The value of int(dx)/(2sqrt(x)(x+1)) is -

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