Home
Class 11
MATHS
IF the tangent at any point P on the cur...

IF the tangent at any point P on the curve `x^my^n=a^(m+n)`, `mn ne 0` meets the coordinate axes in A.B then show that `AP:BP` is a constant.

Text Solution

Verified by Experts

The correct Answer is:
`AP:PB=n:m` = constant.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(c )|7 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(d)|8 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(a)|16 Videos

  • ADDITION OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise - 4 (b) |11 Videos

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

Similar Questions

Explore conceptually related problems

The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) intersects the coordinate axes in A and B then show that the length AB is a constant.

If the tangent at the point (a,b) on the curve x^(3)+y^(3)=a^(3)+b^(3) meets the curve again at the point (p,q) then show that bp+aq+ab=0

The subtangent to the curve x^my^n=a^(m+n) at any point (x,y) is

If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercepts p and q on the coordinate axes, then p^(-4//3)+q^(-4//3)=

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B. If the lines drawn parallel to axes through A and B meet at P then locus of P is

If the tangent at any point on the curve x^(1//3)+y^(1//3)=a^(1//3)(agt0) cuts of intercepts p and q on the coordinate axes then sqrt(p)+sqrt(q) =

Show that the tangent at the point P(2,-2) on the curve y(1-x)=x makes intercepts of equal length on the coordinates axex and the normal at P passes through the origin.

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-APPLICATION OF DERIVATIVES-Exercise-10(b)
  1. Find the point on the curve y = x^(3) - 11x + 5 at which the tangent i...

    Text Solution

    |

  2. Find the equations of all lines having slope 0 which are tangent to th...

    Text Solution

    |

  3. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  4. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  5. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  6. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  7. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  8. Find the equations of tangent and normal to the following curves at th...

    Text Solution

    |

  9. Find the equations of tangent and normal to the curve xy = 10 at (2 , ...

    Text Solution

    |

  10. Find the equation of tangent and normal to the curve y=x^(3)+4x at (-1...

    Text Solution

    |

  11. If the slope of the tangent to the curve x^(2)-2xy+4y=0 at the point i...

    Text Solution

    |

  12. If the slope of the tangent to the curve y= x log x at a point on it i...

    Text Solution

    |

  13. Find the equation of tangent and normal to the curve y = "2.e" ^((-x)...

    Text Solution

    |

  14. Show that the tangent at P(x(1),y(1)) on the curve sqrt(x)+sqrt(y)=sqr...

    Text Solution

    |

  15. At what points on the curve x^(2)-y^(2)=2. The slops of tangents are e...

    Text Solution

    |

  16. Show that the curves x^(2)+y^(2)=2, 3x^(2)+y^(2)=4x have a common tang...

    Text Solution

    |

  17. At the point (x(1),y(1)) on the curve x^(3)+y^(3)=3axy show that the t...

    Text Solution

    |

  18. Show that the tangent at the point P(2,-2) on the curve y(1-x)=x makes...

    Text Solution

    |

  19. IF the tangent at a point on the curve x^(2//3)+y^(2//3)=a^(2//3) inte...

    Text Solution

    |

  20. IF the tangent at any point P on the curve x^my^n=a^(m+n), mn ne 0 mee...

    Text Solution

    |