Home
Class 12
MATHS
If a. ne 0 , x = a (t + sin t) and y = ...

If `a. ne 0 , x = a (t + sin t) and y = a (1- cos t)` then `(d^(2) y) /dx^(2)" at "t = (2pi)/ 3 ` is

A

`4/a`

B

`1/(4a)`

C

`4a`

D

`a/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|39 Videos
  • AP EAMCET SOLVED PAPER 2019 (22-04-2019, SHIFT-2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|77 Videos

Similar Questions

Explore conceptually related problems

If x =a ( t - sint ) , y =a ( 1 + cos t ) find (d ^(2) y )/(dx ^(2)).

If x = at^(2) and y = 2 at, then (d^(2)y)/(dx^(2)) at t = (1)/(2) is

If x = e ^(2t ) cos, 3t, then (d ^(2) x)/(dt ^(2))at t = pi //2 is

If x =a (t + sin t), y =a (1- cos t) and (dy)/(dx) = tanp then p =

If x = Sin ^(-1) t, y = sqrt(1- t ^(2)) then (d^(2) y)/(dx ^(2))=

If x = e^(t)sint, y =e^(t)cost then (d^2y)/(dx^2) at t = pi is

If x = sin^(-1)t and y = log (1 - t^2) , then (d^2 y)/(dx^2)|_(t=1//2) is

If x = t ^(2), y = t ^(3) then (d ^(2) y)/(dx ^(2)) =

x = t cos t , y = t + sint . Then (d^2x)/(dy^2) at t = pi/2

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET SOLVED PAPER 2019-MATHEMATICS
  1. The lines (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/(1...

    Text Solution

    |

  2. lim(xrarr 0 ) (x^(2) (tan2x - 2 tan x )^(2))/((1-cos 2 x )^(4)) =

    Text Solution

    |

  3. lim(x rarr infty ) ( (6x^(2) - cos 3 x ) /(x^(2) + 5 ) - (5x^(3) + 3)/...

    Text Solution

    |

  4. The number of discontinuities in R for the function f(x) = (x-1) / (...

    Text Solution

    |

  5. d /dx (log ( sqrt(x+ sqrt( x^(2) + a^(2) ))))=

    Text Solution

    |

  6. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

    Text Solution

    |

  7. If a. ne 0 , x = a (t + sin t) and y = a (1- cos t) then (d^(2) y) /d...

    Text Solution

    |

  8. The number of tangent to the curve y^(2) (x-a) = x^(2) (x+ a ) (agt 0)...

    Text Solution

    |

  9. If f(x) = (2k + 1) x- 3 - ke^(-x) + 2e^(x) is monotonically increasin...

    Text Solution

    |

  10. if the function f (x) = ax^(3) + bx^(2) + 11 x - 6 satisfies the cond...

    Text Solution

    |

  11. For a gt 0, if the function f(x)=2 x^(3) - 9 a x^(2) + 12 a^(2) x + 1...

    Text Solution

    |

  12. If int cos xcdot cos 2 x cdot cos 5 x dx = A sin 2 x + B sin 4 x +...

    Text Solution

    |

  13. If int e^(x) ((x+2)/(x+4))^(2) dx = f(x) arbitrary constant, then f(x...

    Text Solution

    |

  14. Evalute the following integrals int (dx)/(sin x + sin 2x )

    Text Solution

    |

  15. In I(n) = int (sin nx)/(sin x) dx " for " n = 1, 2, 3,....," then "I(6...

    Text Solution

    |

  16. If lim(n rarr infty ) [(1+ 1/x^(2))(1+ 2^(2)/n^(2))...(1+n^(2)/n^(2))]...

    Text Solution

    |

  17. int (0)^(pi//2) (sin^(3) x cos x dx ) /(sin^(4) x + cos^(4) x )=

    Text Solution

    |

  18. The curve y = ax^(2) + bx passes through the point (1,2) and lies abov...

    Text Solution

    |

  19. The differential equation of all parabolas whose axes are parallel to ...

    Text Solution

    |

  20. The solution of the equation dy/dx= 2y tan x = sin x satisfying y = 0...

    Text Solution

    |