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^m y^n = a^(m+n), mn != 0` meets the coordinate axes in A, B then show that `AP:BP` is a constant.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The subtangent at any point on the curve x^(m)y^(n)=a^(m+n) varies as

The tangent at P, any point on the circle x^(2)+y^(2)=4, meets the coordinate axes in A and B, then (a) Length of AB is constant (b) P Aand PB are always equal (c) The locus of the midpoint of AB is x^(2)+y^(2)=x^(2)y^(2)(d) None of these

The tangent at any point on the curve xy = 4 makes intercepls on the coordinates axes as a and b. Then the value of ab is

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at Aa n dB . Then find the locus of the midpoint of A Bdot

If the tangent at the point (p,q) to the curve x^(3)+y^(2)=k meets the curve again at the point (a,b), then

Find the eqution of the curve passing through the point (1,1), if the tangent drawn at any point P(x,y) on the curve meets the coordinate axes at A and B such that P is the mid point of AB.

If the area of the triangle formed by a tangent to the curve x^(n)y=a^(n+1) and the coordinate axes is constant, then n=

RESONANCE DPP-JEE MAINS-All Questions
  1. If n is an odd integer then show that n ^(2) -1 is divisible by 8.

    Text Solution

    |

  2. Greatest positive term of a H.P. whose first who first two terms are 2...

    Text Solution

    |

  3. If the tangent at any point P on the curve x^m y^n = a^(m+n), mn != 0...

    Text Solution

    |

  4. Which of the following when simplified reduces to unity? (log)(3/2)(l...

    Text Solution

    |

  5. A line L is perpendicular to the line 3x-4y-7=0 and touches the circle...

    Text Solution

    |

  6. Let f (x) and g (x) be two differentiable functions, defined as: f (...

    Text Solution

    |

  7. Determine the domain and the range of the relation R defined by R{(x+1...

    Text Solution

    |

  8. Sixteen players P(1),P(2),P(3)….., P(16) play in tournament. If they g...

    Text Solution

    |

  9. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1,...

    Text Solution

    |

  10. Describe the following set by set property method {0,3,8,15 ,24 ,35}

    Text Solution

    |

  11. Let f(x) have a point of inflection at x=1 and let f^(")(x)=x. If f^('...

    Text Solution

    |

  12. In a circle, chords AB and CD intersect at a point R inside the circle...

    Text Solution

    |

  13. The domain of the funciton f(x) given by 3^(x) + 3^(f) = "min" (2t^(3...

    Text Solution

    |

  14. A set contains 2n+1 elements. The number of subsets of this set conta...

    Text Solution

    |

  15. Remove the irrationality in the denominator a.sqrt((sqrt(2)-1)/(...

    Text Solution

    |

  16. If x1,x2,x3,x4 be the roots of the equationx^4 + a x^3+b x^2 +cx + d =...

    Text Solution

    |

  17. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

    Text Solution

    |

  18. Evaluate/simplify the following: |pi-3-8-2sqrt(15)|

    Text Solution

    |

  19. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

    Text Solution

    |

  20. The negation of the compound proposition p vv ( ~ p vv q) is

    Text Solution

    |