Home
Class 12
MATHS
The tangent at any point on the ellipse ...

The tangent at any point on the ellipse `16x^(2)+25y^(2) = 400` meets the tangents at the ends of the major axis at `T_(1)` and `T_(2)`. The circle on `T_(1)T_(2)` as diameter passes through

A

(3, 0)

B

(0, 0)

C

(0, 3)

D

(4, 0)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

A tangent to the ellipse 4x^2 +9y^2 =36 is cut by the tangent at the extremities of the major axis at T and T^1 , the circle on T T^1 as diameter passes through the point

The tangent at a point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , which in not an extremely of major axis meets a directrix at T. Statement-1: The circle on PT as diameter passes through the focus of the ellipse corresponding to the directrix on which T lies. Statement-2: Pt substends is a right angle at the focus of the ellipse corresponding to the directrix on which T lies.

Prove that if any tangent to the ellipse is cut by the tangents at the endpoints of the major axis at Ta n dT ' , then the circle whose diameter is T T ' will pass through the foci of the ellipse.

The tangents from a point (2sqrt(2),1) to the hyperbola 16x^(2)-25y^(2)=400 inculde an angle equal to

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. The sum of focal distance of any point on the curce is

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. Which of the following does not change by changing the radius of the circle ?

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. The locus of the intersection of AO and BT is a conic whosee eccentricity is

The tangents from (1, 2sqrt2) to the hyperbola 16x^2-25y^2 = 400 include between them an angle equal to:

If the tangents at t_(1) and t_(2) on y^(2) =4ax meet on the directrix then

The tangent at a point P on an ellipse intersects the major axis at T ,a n dN is the foot of the perpendicular from P to the same axis. Show that the circle drawn on N T as diameter intersects the auxiliary circle orthogonally.

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. In an ellipse the distance between the foci is 8 and the distance betw...

    Text Solution

    |

  2. The area (in sq units) of the quadrilateral formed by the tangents at ...

    Text Solution

    |

  3. The tangent at any point on the ellipse 16x^(2)+25y^(2) = 400 meets th...

    Text Solution

    |

  4. If tangents are drawn to the ellipse 2x^(2) + 3y^(2) =6, then the locu...

    Text Solution

    |

  5. The minimum area of the triangle formed by the tangent to the ellipse ...

    Text Solution

    |

  6. The number of common tangents to the ellipse (x^(2))/(16) + (y^(2))/(9...

    Text Solution

    |

  7. If the focal distance of an end of the minor axis of an ellipse (ref...

    Text Solution

    |

  8. Number of points on the ellipse (x^(2))/(25) + (y^(2))/(16) =1 from wh...

    Text Solution

    |

  9. Area of the region bounded by the curve {(x,y) : (x^(2))/(a^(2)) + (y^...

    Text Solution

    |

  10. The ellipse x^(2)4y^(2)=4 is inscribed in a rectangle aligned with the...

    Text Solution

    |

  11. P is any variable point on the ellipse 4x^(2) + 9y^(2) = 36 and F(1), ...

    Text Solution

    |

  12. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. AB is double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 such that Del...

    Text Solution

    |

  15. Find the equation to the hyperbola whose foci, are (6,4) and (-4,4) a...

    Text Solution

    |

  16. The equation of the tangent to the hyperbola 3x^(2) - 4y^(2) = 12, whi...

    Text Solution

    |

  17. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...

    Text Solution

    |

  18. The equation of the hyperbola with centre at (0, 0) and co-ordinate ...

    Text Solution

    |

  19. The equation of the tangent to the hyperbola 3x^(2) - 8y^(2) = 24 and ...

    Text Solution

    |

  20. Find the locus of a point P(alpha, beta) moving under the condition th...

    Text Solution

    |