Home
Class 12
MATHS
If x=sqrt(a^(sin^(-1)t)) then prove that...

If `x=sqrt(a^(sin^(-1)t))` then prove that `(dy)/(dx)=(-y)/(x)`

Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER ( Topper Answers March - 2015 )

    OSWAAL PUBLICATION|Exercise PART - D|12 Videos

  • SOLVED PAPER ( Topper Answers March - 2015 )

    OSWAAL PUBLICATION|Exercise PART - E|4 Videos

  • SOLVED PAPER ( Topper Answers March - 2015 )

    OSWAAL PUBLICATION|Exercise PART - E|4 Videos

  • SOLVED PAPER MARCH - 2018

    OSWAAL PUBLICATION|Exercise PART - E|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    OSWAAL PUBLICATION|Exercise Topic - 3 (Long answer type questions - II)|23 Videos

Similar Questions

Explore conceptually related problems

x = sqrt(a^(sin^(-1)t)), y=sqrt(a^(cos^(-1)t)) , Prove that: (dy)/(dx) = -y/x

If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)) , then show that dy/dx=-y/x

If x=sint, y=cos 2t then prove that (dy)/(dx) =-sin t

If sqrt(x) + sqrt(y) = sqrt(5) , Prove that (dy)/(dx) = (-3)/(2) when x= 4" and "y=9 .

If y = sin(log_(e) x) prove that (dy)/(dx) = sqrt(1-y^2)/x

If sqrt(x) + sqrt(y) = sqrt(a) , prove that (dy)/(dx) = -sqrt(y/x) .

If xsqrt(1 + y) + ysqrt(1 + x) = 0 x != y prove that (dy)/(dx) = (-1)/((1 + x)^(2))

OSWAAL PUBLICATION-SOLVED PAPER ( Topper Answers March - 2015 )-PART - B
  1. Show that if f: A to B and g : B to C are onto, then gof A to C is als...

    Text Solution

    |

  2. Prove the following: sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,-1/(sqrt(2...

    Text Solution

    |

  3. Prove that 2"tan"^(-1)1/2+"tan"^(-1)1/7="tan"^(-1)31/17

    Text Solution

    |

  4. If the area of the triangle with vertices (-2, 0), (0, 4) and (0, k) i...

    Text Solution

    |

  5. Differentiable (x + 1/x)^x with respect to x.

    Text Solution

    |

  6. Find the slope of the tangent to the curve y = (x - 1)/(x - 2), x!= 2 ...

    Text Solution

    |

  7. Find (dy)/(dx) given x^(2) + xy + y^(2) = 100.

    Text Solution

    |

  8. Evalute : int (cos 2 x - cos2 alpha)/(cos x - cos alpha)dx.

    Text Solution

    |

  9. Evaluate: int(dx)/(x-sqrtx).

    Text Solution

    |

  10. Find the order and degree, if defined of the differential equation ((d...

    Text Solution

    |

  11. Find |vecb|,if (veca+vecb).(veca-vecb)=8 and |veca|=8|vecb|.

    Text Solution

    |

  12. If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4, find x

    Text Solution

    |

  13. If A and B are square matrices of the same order, then show that (AB)^...

    Text Solution

    |

  14. Verify Rolle's theorem for the function f(x)=x^(2)+2x-8, x in [-4,2].

    Text Solution

    |

  15. If x=sqrt(a^(sin^(-1)t)) then prove that (dy)/(dx)=(-y)/(x)

    Text Solution

    |

  16. Find two positive number whose sum is 15 and the sum of whose squares ...

    Text Solution

    |

  17. Evalute : int x tan^(2) xdx.

    Text Solution

    |

  18. Evalute : underset(0)overset(2)(int) e^x dx as the limit of a sum.

    Text Solution

    |

  19. Form the differential equation of the circles touching the x-axis at o...

    Text Solution

    |

  20. An insurance company insured 2000 scooter drivers, 4000 car drivers an...

    Text Solution

    |