Home
Class 12
MATHS
if x = sec theta - cos theta and y = sec...

if `x = sec theta - cos theta and y = sec^n theta - cos^n theta`, then show that `(x^2+4)(dy/dx)^2 = n^2(y^2+4)`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

If y = sec^2 theta+ cos^2 theta, theta ne 0 , then :

If x = a cos theta + b sin theta and y =asin theta-b cos theta , then prove that y^2 (d^2y)/(dx^2)-x(dy)/(dx)+y=0

If x = 2 cos theta - cos 2 theta, y = 2 sin theta - sin 2 theta, find dy/dx at theta = pi/2

If m= sin theta+ cos theta and n= sec theta+cosec theta , prove that n (m + 1) (m-1) = 2m .

If cot theta+cos theta=m, cot theta-cos theta=n , show that : (m^2-n^2)^2=16mn .

Find dy/dx when x = cos theta + cos 2 theta, y = sin theta + sin 2 theta)

Find dy/dx , if x = cos(theta) and y = sin(2theta)

x = a (theta + sin theta), y = a (1 - cos theta) find dy/dx

x = a (theta - sin theta), y = a (1 + cos theta) find dy/dx

If x = a (sin theta - theta cos theta) and y = a (cos theta + theta sin theta) find dy/dx at theta = pi/4

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. if x = sec theta - cos theta and y = sec^n theta - cos^n theta, then s...

    Text Solution

    |

  2. If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the...

    Text Solution

    |

  3. Check the continuity of the function f given by f(x) = 2x+3 at x=1

    Text Solution

    |

  4. Check the continuity of the following functions: f(x) = x^2atx=0

    Text Solution

    |

  5. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

    Text Solution

    |

  6. Examine the function f(x) = 2x^2-5 for its continuity at the point x =...

    Text Solution

    |

  7. Is the function defined by f(x) = |x|, a continuous function?

    Text Solution

    |

  8. Find the point at which the function f(x) = [x] is not continuous in (...

    Text Solution

    |

  9. Examine the following function for continuity: f(x) = x-5

    Text Solution

    |

  10. Examine the following functions for continuity: f(x) = x^3 + x^2-1

    Text Solution

    |

  11. Examine the following function for continuity: f(x) = 1/(x-5), x ne 5

    Text Solution

    |

  12. Examine the following function for continuity: f(x) = (x^2 -25)/(x+5),...

    Text Solution

    |

  13. Examine the following function for continuity: f(x) = |x-5|

    Text Solution

    |

  14. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  15. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  16. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  17. Discuss the continuity of the following function: f(x) = sinx + cosx

    Text Solution

    |

  18. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  19. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  20. Discuss the continuity of the following functions: f(x) = (sinx)/(co...

    Text Solution

    |

  21. Prove that f(x) = |sin x| is continous at all point of its domnin.

    Text Solution

    |