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If `x=a(theta+sin theta), y=a(1-cos theta)`, then the value of `(dy)/(dx)` is -

A

`tan theta`

B

`"tan"(theta)/(2)`

C

`cot theta`

D

`"cot"(theta)/(2)`

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If e^(y)+xy=e^(2) then the value of (d^(2)y)/(dx^(2)) at x=0 is -

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  2. Derivative of sin^(-1)x w.r.t. cos^(-1) sqrt(1-x^(2)) is -

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  3. If x=a(theta+sin theta), y=a(1-cos theta), then the value of (dy)/(d...

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  4. The equation ax^(2)+bx+c=0 has one real root between 0 and k. If 4a...

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  5. If lim(x to oo) [ (x^(3)+1)/(x^(2)+1)-(ax+b)]=2, then the values of a ...

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  6. Let f(x) be continuous in (-oo, oo) and f'(x) exists in (-oo, oo). If...

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  7. The value of lim(x to 0) (1-3x)^((3)/(x)) is equal to -

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  8. If y=2sin^(- 1)((x-2)/sqrt(6))-sqrt(2+4x-x^2) then prove that dy/dx at...

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  9. If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) and phi(x)=cos^(-1)((1-x^(2)...

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

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  11. If y=e^(x+e^(x+e^(x+...oo)), then the value of (dy)/(dx) is -

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  12. If y=(x sin^(-1)x)/(sqrt(1-x^(2)))+logsqrt(1-x^(2)), then the value o...

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  13. For |x| lt 1, let y=1+x+x^(2)+…oo, then the value of (dy)/(dx)-y is e...

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  14. Observe the following statements : (i) f(x)=ax^(41)+bx^(-40) rArr (f'...

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  15. If f(y)=e^(y), g(y)=y, y gt 0 and F(t)=int(0)^(t) f(t-y)g(y)dy, then ...

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  16. If m, n in R, then the value of I(m,n)=int(0)^(1) t^(m)(1+t)^(n)dt is...

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  17. The value of int(-2)^(2)[p log((1+x)/(1-x))+q log ((1-x)/(1+x))^(-2)+...

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  18. The value of int (f'(x))/(f(x)log{f(x)})dx is equal to -

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  19. The value of int e^(-logx)dx is -

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  20. If f(x)=(e^(x))/(1+e^(x)),I(1)=int(f(-a))^(f(a))xg{x(1-x)}dx and I(2)...

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