Home
Class 12
MATHS
The chords passing through (2, 1) inters...

The chords passing through (2, 1) intersect the hyperbola `(x^(2))/(16)-(y^(2))/(9)=1` at A and B. The locus of the point of intersection of tangents at A and B on the hyperbola is

A

`x-y=1`

B

`x+y=3`

C

`9x-8y=72`

D

`9x+8y=7`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 45

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 47

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The chords passing through L(2,1) intersects the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 at P and Q. If the tangents at P and Q intersects at R then Locus of R is

If a tangent to the parabola y^(2)=4ax intersects the (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at A and B, then the locus of the point of intersection of tangents at A and B to the ellipse is

If the tangents to the parabola y^(2)=4ax intersect the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at A and B, then find the locus of the point of intersection of the tangents at A and B.

A line through the origin meets the circle x^(2)+y^(2)=a^(2) at P and the hyperbola x^(2)-y^(2)=a^(2) at Q. Prove that the locus of the point of intersection of tangent at P to the circle with the tangent at Q to the hyperbola is a straight line.

The locus of the point of intersection of the tangents at the ends of normal chord of the hyperbola x^(2)-y^(2)=a^(2) is

The locus of the point of intersection of tangents drawn at the extremities of normal chords to hyperbola xy = c^(2)

A chord PQ of the hyperbola xy=c^(2) is tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 Find the locus of the middle point of PQ .

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is

NTA MOCK TESTS-NTA JEE MOCK TEST 46-MATHEMATICS
  1. The value of lim(xrarr0)(secx+tanx)^(1)/(x) is equal to

    Text Solution

    |

  2. The minimum value of the function f(x)=(tanx)/(3+2tanx), AA x in [0, (...

    Text Solution

    |

  3. The solution of the differential equation y(sin^(2)x)dy+(sinxcosx)y^(2...

    Text Solution

    |

  4. The negation of (~p ^^ q) vv (p ^^ ~ q) is

    Text Solution

    |

  5. If f(x)={{:(e^(|x|+|x|-1)/(|x|+|x|),":",xne0),(-1,":",x=0):} (where [...

    Text Solution

    |

  6. If int(dx)/(x^(2)+x)=ln|f(x)|+C (where C is the constant of integratio...

    Text Solution

    |

  7. Let veca=2hati+3hatj+4hatk, vecb=hati-2hatj+jhatk and vecc=hati+hatj-h...

    Text Solution

    |

  8. The chords passing through (2, 1) intersect the hyperbola (x^(2))/(16)...

    Text Solution

    |

  9. If |(cos theta,-1,1),(cos2 theta,4,3),(2,7,7)|=0, then the number of v...

    Text Solution

    |

  10. A box contains x red balls and 10 black balls. 3 balls are drawn one b...

    Text Solution

    |

  11. The equation of the external bisector of angleBAC" to "DeltaABC with v...

    Text Solution

    |

  12. Chord joining two distinct point P(a, 4b) and Q(c, -(16)/(b)) (both ar...

    Text Solution

    |

  13. A plane P = 0 passing through the point (1, 1, 1) is perpendicular to ...

    Text Solution

    |

  14. Let the complex numbers Z(1), Z(2) and Z(3) are the vertices A, B and ...

    Text Solution

    |

  15. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. If the tange...

    Text Solution

    |

  16. If the coefficient of x^(6) in the expansion of (2+x)^(3)(3+x)^(2)(5+x...

    Text Solution

    |

  17. The maximum value of x that satisfies the equation sin^(-1)((2sqrt(15)...

    Text Solution

    |

  18. The number of all possible symmetric matrices of order 3xx3 with each ...

    Text Solution

    |

  19. The mean of 40 observations 20 and their standard deviation is 5. If t...

    Text Solution

    |

  20. If I(n)=(d^(n))/(dx^(n))(x^(n)lnx), then the value of (1)/(50)(I(7)-7I...

    Text Solution

    |