Home
Class 12
MATHS
If x=cos^-1(1/(sqrt(1+t^2))), y=sin^-1(1...

If `x=cos^-1(1/(sqrt(1+t^2)))`, `y=sin^-1(1/(sqrt(t^2+1)))` then `dy/dx` is independent of t.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

If sin y=(2t)/(1 + t^2) , cos x= 1/(sqrt(1+t^2)) then show that (dy)/(dx) is independent of t.

If cosx=sqrt(1/(1+t^2)),sin y=(2t)/(1+t^2) then show that (dy)/(dx) is independent of t.

If y=cot^(-1)(sqrt(1+x^2)/x) then (dy)/(dx)=?

If y=sin^(-1)((2sqrt(x^(2)-1))/(x^(2))) , then find (dy)/(dx) .

If y = tan^(-1)sqrt(1+x^2) then find (dy)/(dx) .

If y=sin^(-1)[((5x+12(sqrt(1-x^2)))/13)] then find (dy)/(dx) .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

    Text Solution

    |

  2. Determine the values of x for which the function f(x)= x^x, xgt0 is in...

    Text Solution

    |

  3. If x=cos^-1(1/(sqrt(1+t^2))), y=sin^-1(1/(sqrt(t^2+1))) then dy/dx is ...

    Text Solution

    |

  4. Find the angle between the tangents to the curve y=x^2-5x+6 at the poi...

    Text Solution

    |

  5. Find the area of the region bounded by y=6x-x^2x-axis and between ordi...

    Text Solution

    |

  6. intsin^-1sqrt(x/(a+x))dx=.

    Text Solution

    |

  7. Solve : xdy/dx+y=xy^2

    Text Solution

    |

  8. Evaluate int3^6sqrtx/(sqrt((9-x))+sqrtx)dx

    Text Solution

    |

  9. Evaluate int-1^2 {|x\|+[x]}dx

    Text Solution

    |

  10. The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...

    Text Solution

    |

  11. If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec...

    Text Solution

    |

  12. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

    Text Solution

    |

  13. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  14. Show that the vectors 4hati+4hatj+ 4hatk,7hati+6hatj-hatk and 3hati+2h...

    Text Solution

    |

  15. Integrate intdx/(x^4+1)

    Text Solution

    |

  16. Solve x^2ydx-(x^3+y^3)dy=0.

    Text Solution

    |

  17. Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.

    Text Solution

    |

  18. If a line in the space makes angles alpha, beta  and gamma  with the c...

    Text Solution

    |

  19. If the mapping f and g are given by f= {(1,2), (3, 4), (5, 6), (7, 8)}...

    Text Solution

    |

  20. Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...

    Text Solution

    |