Home
Class 12
MATHS
Tangent at any point P on the hyperbola ...

Tangent at any point P on the hyperbola `x^(2)/9 - y^(2)/4 =1` intersects the asymptotes at points A and B, if C is the centre of the hyperbola, then area of `triangle ABC` is:

A

4 sq. Units

B

6 sq. Units

C

8 sq. Units

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 60

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

  • NTA TPC JEE MAIN TEST 63

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

Tangents at any point P is drawn to hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =1 intersects asymptotes at Q and R, if O is the centre of hyperbola then

The tangent at any point of a hyperbola 16x^(2) – 25y^(2) = 400 cuts off a triangle from the asymptotes and that the portion of it intercepted between the asymptotes, then the area of this triangle is

A tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets its asymptotes at P and Q. If C its centre,prove that CP.CQ=a^(2)+b^(2)

A tangent is drawn at any point on the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 . If this tengent is intersected by the tangents at the vertices at points P and Q then show that S, S' , P and Q are concyclic points where S and S' are the foci of the hyperbola .

The product of lengths of perpendicular from any point on the hyperbola x^(2)-y^(2)=8 to its asymptotes, is

The tangent at any point P on a hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 with centre C meets the assymptotes is bisected at the point of contact . This implies that the locus of the centre of the circle circumscribing Delta CQR in case of a rectangular hyperbola is the hyperbola itself.

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 62-MATHEMATICS
  1. Let A and B be two sets containing four and two elements respectively,...

    Text Solution

    |

  2. If two distinct chords drawn from the point (2sqrt(2) sin theta, 1/sqr...

    Text Solution

    |

  3. Tangent at any point P on the hyperbola x^(2)/9 - y^(2)/4 =1 intersec...

    Text Solution

    |

  4. Consider the parabola x^2 + 4x - 2y + 6 = 0. If its chord AB : 2m x - ...

    Text Solution

    |

  5. The angle between the two lines: (x+1)/2 = (y+3)/2 = (z-4)/(-1) & (x...

    Text Solution

    |

  6. If veca = hati - 2hatj + 3hatk and vecb = -3hati + hatj - hatk and ve...

    Text Solution

    |

  7. ("lim")(x to 0)(tan x sqrt(tanx) - sin x sqrt(sinx))/(x^(3) sqrt(x)) e...

    Text Solution

    |

  8. The range of 1/(3 sin theta + 4 cos theta + 2) is:

    Text Solution

    |

  9. The value of the definite integral int(-1)^(1) ln (1^(x) + 2^(x) + 3^(...

    Text Solution

    |

  10. Normal to a curve at a point P(x,y) meets the z-axis at G.. If distanc...

    Text Solution

    |

  11. The value of int(x(x^(4)-1))/((x^(8) + 3x^(4) +1)tan^(-1) (x^(2) + 1/x...

    Text Solution

    |

  12. 110 triangles can be formed by joning 10 points as vertices in which n...

    Text Solution

    |

  13. If tan (pi cos theta) = cot(pi sin theta), then cos^(2) (theta pi/4) ...

    Text Solution

    |

  14. If 2x = y^(1/3) + y^(-1/3), then the value of (x^(2)-1)/y. (d^(2)y)/(d...

    Text Solution

    |

  15. The angle of inclination of the top of the tower from point A on the g...

    Text Solution

    |

  16. Number of real roots of the equation: sin^(-1) sin x = cos^(-1) cos ...

    Text Solution

    |

  17. If (""^(20)C(1))/1 + (""^(20)C(3))/2 + (""^(20)C(5))/3 + ..... + (""^(...

    Text Solution

    |

  18. Find the number of value(s) of theta in the interval [0, pi], such tha...

    Text Solution

    |

  19. An aeroplane flies around a square, the sides of which measure 100 mil...

    Text Solution

    |

  20. The line 3x + 2y = 24 meets x - axis at B and the y -axis at A. The pe...

    Text Solution

    |