Home
Class 12
MATHS
The tangent to the hyperbola xy=c^2 at t...

The tangent to the hyperbola `xy=c^2` at the point P intersects the x-axis at T and y- axis at T'.The normal to the hyperbola at P intersects the x-axis at N and the y-axis at N' . The areas of the triangles PNT and PN'T' are `Delta` and `Delta'` respectively, then `1/Delta+1/(Delta)'` is (A) equal to 1 (B) depends on t (C) depends on c D) equal to 2

A

equal to 1

B

depends on t

C

depends on c

D

equal to 2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Subjective Type Questions|1 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|19 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The tangent at P( at^2, 2at ) to the parabola y^(2)=4ax intersects X axis at A and the normal at P meets it at B then area of triangle PAB is

Let the tangent to the parabola S : y^(2) = 2x at the point P(2,-2) meet the x-axis at Q and normal at it meet the parabola S at the point R. Then the area (in sq. units) of the triangle PQR is equal to :

The point of intersection of tangents at 't'_(1) " and " 't'_(2) to the hyperbola xy = c^(2) is

The tangent at P(at^(2), 2at) to the parabola y^(2)=4ax intersects X axis at A and the normal at P meets it at B then area of triangle PAB( in sq . units) is

ARIHANT MATHS-HYPERBOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The tangent to the hyperbola xy=c^2 at the point P intersects the x-ax...

    Text Solution

    |

  2. The locus a point P(alpha,beta) moving under the condition that the li...

    Text Solution

    |

  3. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)+(...

    Text Solution

    |

  4. A hyperbola, having the transverse axis of length 2sin theta, is conf...

    Text Solution

    |

  5. Two braches of a hyperbola

    Text Solution

    |

  6. For the hyperbola (x^2)/(cos^2alpha)-(y^2)/(sin^2alpha)=1 , which of ...

    Text Solution

    |

  7. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

    Text Solution

    |

  8. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

    Text Solution

    |

  9. The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 in...

    Text Solution

    |

  10. The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the...

    Text Solution

    |

  11. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  12. Let P(6,3) be a point on the hyperbola parabola x^2/a^2-y^2/b^2=1If t...

    Text Solution

    |

  13. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

    Text Solution

    |

  14. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

    Text Solution

    |

  15. Consider the hyperbola H:x^2-y^2=1 and a circle S with centre N(x2,0) ...

    Text Solution

    |

  16. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

    Text Solution

    |

  17. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

    Text Solution

    |

  18. If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...

    Text Solution

    |