Home
Class 12
MATHS
A tangent at any point on the ellipse (x...

A tangent at any point on the ellipse `(x^(2))/(9)+(y^(2))/(4)=1` is cut by the tangents at the extremities of the major axis at `T_(1)andT_(2)`. The circle on `T_(1)T_(2)` as diameter passes through the point :

A

`(2,1)`

B

`(sqrt(5),0)`

C

`(0,sqrt(5))`

D

`(0,-sqrt(5))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|5 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

Similar Questions

Explore conceptually related problems

Find the point on the curve (x^(2))/(4)+(y^(2))/(25)=1 at which the tangents are parallel to x-axis.

The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

Find points on the curve (x^2)/(9) + (y^2)/(16) = 1 at which the tangents are (a) parallel X-axis.

Find points on the curve (x^2)/(9) + (y^2)/(16) = 1 at which the tangents are (b) parallel to Y-axis.

If the tangents drawn from a point (1,2 sqrt(3)) to the ellipse (x^(2))/(9)+(y^(2))/(b^(2))=1 are at right angles then b =

Find the point on the curve (x^(2))/4+(y^(2))/25=1 at which the tangents are parallel to x - axis.

Find points on the curve (x^(2))/(9) +(y^(2))/(16) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

On the ellipse 4 x^(2)+9 y^(2)=1 , the point at which the tangent are parallel to 8 x=9 y are

The product of the perpendiculars from the foci of the ellipse (x^(2))/(16)+(y^(2))/(4)=1 onto any tangent to the ellipse is

If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=1 are at right angles then lambda is

MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ
  1. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

  2. If the focal distance of an end of the minor axis of an ellipse (re...

    Text Solution

    |

  3. A tangent at any point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is cut...

    Text Solution

    |

  4. If y=xand2x+3y=0 are equations of a pair of conjugate diameters of an ...

    Text Solution

    |

  5. If chord ofcontact ofthe tangents drawn from the point (alpha,beta)to ...

    Text Solution

    |

  6. If the polar of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is always touching t...

    Text Solution

    |

  7. S1 and S2 are the foci of the elipse x^2/sin^2 alpha+y^2/cos^2 alpha=1...

    Text Solution

    |

  8. Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1. ...

    Text Solution

    |

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

    Text Solution

    |

  10. If tanalphatanbeta=-(a^(2))/(b^(2)), then the chord joining the points...

    Text Solution

    |

  11. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  12. if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points ...

    Text Solution

    |

  13. Area of the greatest rectangle that can be inscribed in the ellipse (x...

    Text Solution

    |

  14. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  15. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  16. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  17. If the locus of the middle point of the portion of a tangent of the el...

    Text Solution

    |

  18. In a model, it is shown that an arc of a bridge is semi-elliptical hav...

    Text Solution

    |

  19. A tangent is drawn at the point (3sqrt3costheta, sintheta) for 0ltthet...

    Text Solution

    |

  20. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

    Text Solution

    |