Home
Class 12
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:
Which is a constant
Promotional Banner

Topper's Solved these Questions

  • SOLVED MODEL PAPER-2

    SRISIRI PUBLICATION|Exercise Section C|7 Videos
  • SOLVED MODEL PAPER-1

    SRISIRI PUBLICATION|Exercise SOLVED MODEL PAPER-1(MATHS-1B)|23 Videos
  • SOLVED MODEL PAPER-3

    SRISIRI PUBLICATION|Exercise SECTION-C|7 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) =

SRISIRI PUBLICATION-SOLVED MODEL PAPER-2-SOLVED MODEL PAPER-2(MATHS-1B)
  1. Compute Lt(x to 0)(3^x-1)/(sqrt(1+x)-1).

    Text Solution

    |

  2. Find {:(" Lt"),(xrarroo):}(8|x|+3x)/(3|x|-2x)

    Text Solution

    |

  3. If y=x^(2)e^(x)sinx, then find dy/dx.

    Text Solution

    |

  4. Find the derivative of Sec^-1(1/(2x^2-1))

    Text Solution

    |

  5. The side of a square is increased from 3 cm to 3.01 cm. Find the appro...

    Text Solution

    |

  6. Verify Rolle's theroem for the function x^2-1 on [-1,1].

    Text Solution

    |

  7. A(5,3) and B(3,-2) are 2 fixed points. Find the equation of locus of P...

    Text Solution

    |

  8. Prove that the angle of rotation of the axes to eliminate xy term from...

    Text Solution

    |

  9. Find the image of (1,2) in the straight line 3x+4y-1=0

    Text Solution

    |

  10. Show that f(x)={{:((cosax-cosbx)/(x^(2))," if " xne0),((1)/(2)(b^(2)...

    Text Solution

    |

  11. Find the derivative of cotx from the first principle.

    Text Solution

    |

  12. A particle moving along a straight line has the relation s=t^(3)+2t+3,...

    Text Solution

    |

  13. Find the equations of the tangent and the normal to the curve y=x^(3)+...

    Text Solution

    |

  14. Find the circumcentre of the triangle whose vertices are (1,3) (0,-2) ...

    Text Solution

    |

  15. Find the centroid and the area of the triangle formed by the lines 2y^...

    Text Solution

    |

  16. Write down the equation of the pair of straight lines joining the orig...

    Text Solution

    |

  17. Find the angle between the lines whose d.c's are related by l + m + n ...

    Text Solution

    |

  18. Find the derivative of (sinx)^(log x)+x^(sinx).

    Text Solution

    |

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

    Text Solution

    |

  20. Show that when the curved surface of a is right circular cylinder insc...

    Text Solution

    |