Home
Class 12
MATHS
Let y=a(1-cos theta), x = a(theta - sin ...

Let `y=a(1-cos theta), x = a(theta - sin theta)`. Then y regarded as a function of x is maximum when `theta` equals

A

`(pi)/(2)`

B

`-(pi)/(2)`

C

`pi`

D

`(pi)/(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS (2011)

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QUESTIONS|10 Videos
  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If x=-a cos theta and y= a sin theta , find (dy)/(dx) .

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

Eliminate theta : x=2 sin theta, y=3 cos theta.

int cos 2theta log ((cos theta+sin theta)/(cos theta-sin theta))d theta

Find (dy)/(dx), " if "x= a cos theta, y= a sin theta .

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

If u = (1 + cos theta) (1+ cos2 theta) - sin theta sin 2theta, v = sin theta (1 + cos2 theta) + sin 2 theta(1 + cos theta), "show that" u^(2) + v^(2) = 4(1 + cos theta) (1 + cos 2theta).

Eliminate theta : x = a ( cos theta + cos 2 theta), y = b ( sin theta + sin 2 theta).

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. Two mappings f : R to R and g : R to R are defined in the following wa...

    Text Solution

    |

  2. If the arithmetic mean of the roots of x^(2)-2ax+b=0 is A and the geom...

    Text Solution

    |

  3. Let y=a(1-cos theta), x = a(theta - sin theta). Then y regarded as a f...

    Text Solution

    |

  4. Let I=int(-2)^(+2){x-[x]}dx when [x] represents the greatest integer n...

    Text Solution

    |

  5. A particle moves according to the law s=t^(3)-9t^(2)+24t. The distance...

    Text Solution

    |

  6. The value of int (1)/(e^(x)+e^(-x))dx is

    Text Solution

    |

  7. If f'(2)=1, then lim(h to 0)(f(2+h)-f(2-h))/(2h) is equal to

    Text Solution

    |

  8. Two fair dice are thrown. The probability that the sum of the numbers ...

    Text Solution

    |

  9. The sum of all the coefficients in the expansion of (x^(2)+(1)/(x))^(n...

    Text Solution

    |

  10. The domain of definition of the function f(x)=sin^(-1)(|x-1|-2) is

    Text Solution

    |

  11. Using calculus, find the area bounded by the curve |x|+|y|=1.

    Text Solution

    |

  12. The number of tangents that can be drawn from the point (6, 2) on the ...

    Text Solution

    |

  13. The value of the integral int(1)^(e )(log x)^(2)dx is

    Text Solution

    |

  14. The value of sum(r=1)^(5)(i^(r )-i^(r+1)) is, where i=sqrt(-1)

    Text Solution

    |

  15. If (m, n) represent respectively the order and degree of the differnti...

    Text Solution

    |

  16. The solution of the differential euation (dy)/(dx)=(x-y)/(x+y) is C...

    Text Solution

    |

  17. The general solution of the equation ydx+(x+cos y)dy=0 is

    Text Solution

    |

  18. The letters of the word 'TRIANGLE' are arranged in a row in all possib...

    Text Solution

    |

  19. If in an infinite G.P. series, the first term is 'a' and the sum is 3,...

    Text Solution

    |

  20. If n is an integer greater than 1, then the value of a-""^(n)c(1)(a-1)...

    Text Solution

    |