Home
Class 12
MATHS
Tangents are drawn to the ellipse x^2/9+...

Tangents are drawn to the ellipse `x^2/9+y^2/5 = 1` at the end of latus rectum. Find the area of quadrilateral so formed

A

`27/2`

B

27

C

`27/4`

D

18

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|3 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

From a point A, common tangents are drawn to the circle x^2+y^2=a^2/2 and parabola y^2= 4x . Find the area of the quadrilateral formed by the common tangents, the chord of contact of the circle and the chord of contact of the parabola.

The tangents and normals are drawn at the extremites of the latusrectum of the parabola y^2=4x . The area of quadrilateral so formed is lamda sq units, the value of lamda is

Area bounded by the ellipse : x^2/16 + y^2/9 = 1 is :

The latus rectum of the ellipse 16x^2+y^2=16 is:

From the point (-1, 2), tangent lines are drawn to the parabola y^2= 4x . Find the equation of the chord of contact. Also find the area of the triangle formed by the chord of contact and the tangents.

The eccentricity of the ellipse x^2/a^2+y^2/b^2=1 , if its latus rectum is half of its minor axis, is :

Find the area bounded by the ellipse x^(2)/16+y^(2)/9=1

Find the area of region bounded by the ellipse x^2/4 + y^2/9 = 1

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find...

    Text Solution

    |

  2. Is 309 a term of the AP 11, 17, 23….?

    Text Solution

    |

  3. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  4. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

    Text Solution

    |

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

    Text Solution

    |

  6. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  7. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  8. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  9. Find the equation of an ellipse whose axes lie along the coordinate ...

    Text Solution

    |

  10. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  11. Statement 1: An equation of a common tangent to the parabola y^2=16s...

    Text Solution

    |

  12. An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 ...

    Text Solution

    |

  13. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  14. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |

  15. The locus of the foot of prependicular drawn from the center of the el...

    Text Solution

    |

  16. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  17. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

    Text Solution

    |

  18. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

    Text Solution

    |

  19. If the tangents to the ellipse at M and N meet at R and the normal to ...

    Text Solution

    |

  20. The eccentricity of an ellipse whose centre is at the origin is 1/2. I...

    Text Solution

    |