Home
Class 11
MATHS
Tangents are drawn to the hyperbola 4x^2...

Tangents are drawn to the hyperbola `4x^2-y^2=36` at the points P and Q. If these tangents intersect at the point T(0,3) then the area (in sq units) of `triangle PTQ` is

A

`54sqrt3`

B

`60sqrt3`

C

`36sqrt5`

D

`45sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|75 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn to the hyperbola 4x^(2)-y^(2)=36 at the points P and Q .If these tangents intersect at the point T(0,3) then the area (in sq units) of /_PTQ is

Tangents are drawn to the hyperbola 4x^(2)-y^(2)=36 at the points P and Q . If these tangents intersect at the point T(0,3) and the area (in sq units) of Delta TPQ is a sqrt(5) then a=

The tangent and normal to the ellipse 3x^(2) + 5y^(2) = 32 at the point P(2, 2) meet the x-axis at Q and R, respectively. Then the area (in sq. units) of the triangle PQR 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 :

Tangents are drawn to the circle x^(2)+y^(2)=16 at the points where it intersects the circle x^(2)+y^(2)-6x-8y-8=0 , then the point of intersection of these tangents is

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^(2)=4x

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

    Text Solution

    |

  2. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

    Text Solution

    |

  3. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

    Text Solution

    |

  4. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

    Text Solution

    |

  5. The length of the straight line x-3y=1, intercept by the hyperbola x^2...

    Text Solution

    |

  6. The locue of the mis-points of the chords of the circel x ^(2) + y ^(2...

    Text Solution

    |

  7. If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then ...

    Text Solution

    |

  8. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  9. From the point A(0,3) on the circle x^2 +4x + (y-3)^2 = 0 a chord AB ...

    Text Solution

    |

  10. For any a in R, then locus x ^(2) + y^(2) - 2ay + a ^(2) =0 touches ...

    Text Solution

    |

  11. The equation of a diameter of circle x ^(2) + y^(2)-6x + 2y =0, passin...

    Text Solution

    |

  12. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

    Text Solution

    |

  13. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0 .The tangents...

    Text Solution

    |

  14. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

    Text Solution

    |

  15. The equation of a parabola which passes through the point of intersect...

    Text Solution

    |

  16. Let the equation of an ellipse be (x^(2))/(144) + (y^(2))/(25) = 1 ....

    Text Solution

    |

  17. The lines y = 2x + sqrt 76 and 2y + x=8 touch the ellipse (x ^(2))/(16...

    Text Solution

    |

  18. A bar of given length moves with its extremities on two fixed strai...

    Text Solution

    |

  19. The distance of the mid -point of line joining two ponts (4,0) and (0,...

    Text Solution

    |

  20. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |