Home
Class 12
MATHS
In the curve x^(m+n)=a^(m-n)y^(2n) , pro...

In the curve `x^(m+n)=a^(m-n)y^(2n)` , prove that the `m t h` power of the sub-tangent varies as the `n t h` power of the sub-normal.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise SOLVED EXAMPLES|15 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise JEE PREVIOUS YEAR|10 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE ENGLISH|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE ENGLISH|Exercise All Questions|142 Videos

Similar Questions

Explore conceptually related problems

Show that for the curve b y^2=(x+a)^3, the square of the sub-tangent varies as the sub-normal.

If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0

If x^m y^n=(x+y)^(m+n) , prove that (dy)/(dx)=y/x .

If x^m y^n=(x+y)^(m+n), Prove that (dy)/(dx)=y/xdot

Prove that for the curve y=be^(x//a) , the subtangent is of constant length and the sub-normal varies as the square of the ordinate .

If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0 .

If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

CENGAGE ENGLISH-APPLICATION OF DERIVATIVES-ILLUSTRATION
  1. Determine p such that the length of the such-tangent and sub-normal is...

    Text Solution

    |

  2. Find the length of normal to the curve x=a(theta+sintheta),y=a(1-costh...

    Text Solution

    |

  3. In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...

    Text Solution

    |

  4. Find the possible values of p such that the equation p x^2=(log)e x ha...

    Text Solution

    |

  5. Find the shortest distance between the line y=x-2 and the parabola y=x...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents a...

    Text Solution

    |

  8. The tangent at any point on the curve x=acos^3theta,y=asin^3theta meet...

    Text Solution

    |

  9. Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...

    Text Solution

    |

  10. On the curve x^3=12 y , find the interval of values of x for which the...

    Text Solution

    |

  11. एक आयत की लम्बाई x, 5 cm / min की दर से घट रही है और चौड़ाई y, 4 cm / ...

    Text Solution

    |

  12. Let x be the length of one of the equal sides of an isosceles triangle...

    Text Solution

    |

  13. A lamp is 50ftdot above the ground. A ball is dropped from the same he...

    Text Solution

    |

  14. If water is poured into an inverted hollow cone whose semi-vertical ...

    Text Solution

    |

  15. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  16. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  17. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |

  18. Use differential to approximate sqrt(36. 6)

    Text Solution

    |

  19. Find the approximate value of sin 3.

    Text Solution

    |

  20. Find the approximate volume of metal in a hollow spherical shell wh...

    Text Solution

    |