Home
Class 12
MATHS
The area of the quadrilateral formed by ...

The area of the quadrilateral formed by the tangents at the endpoint of the latuc rectum to the ellipse `(x^2)/9+(y0^2)/5=1` is 27/4 sq. unit (b) 9 sq. units 27/2 sq. unit (d) 27 sq. unit

A

`(27)/(4)`

B

9

C

`(27)/(2)`

D

27

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-II)|20 Videos

  • ELLIPSE

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos

  • ELLIPSE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-II)|14 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The area of the quadrilateral formed by the tangents at the endpoint of the latus rectum to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 is (A)(27)/(4) sq.unit (B) 9 sq.units (C) (27)/(2) sq.unit (D) 27 sq.unit

The area (in sq.units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse (x^(2))/(9)+(y^(2))/(5)=1, is: (1)(27)/(4)(2)18(3)(27)/(2) (4) 27

Area of the triangle formed by the line x+y=3 and the angle bisectors of the pairs of straight lines x^(2)-y^(2)+2y=1 is 2 sq.units (b) 4 sq.units 6 sq.units (d) 8 sq.units

The area (in sq. units) of the triangle formed by the latus rectum and the tangents at the end points of the latus rectum of (x^(2))/(16)-(y^(2))/(9)=1 is equal to

Area of the triangle formed by the x+y=3 and angle bisectors of the pair of straight lines x^(2)-y^(2)+2y=1 is 2 sq.units (b) 4 sq.units 6 sq.units (d) 8 sq.units.

The area enclosed by 2|x|+3|y|<=6 is (a) 3 sq.units (b) 4 sq.units (c)12 sq.units (d) 24 sq.units

Thangents are drawn from (-1, 0) to y^2 = 4x . Then the area of the triangle fromed by the tangents and the chord of the contact is : (A) 8 sq. units (B) 2 sq. units (C) 4 sq. units (D) 1 sq.units

The area of a sector whose perimeter is four times its radius r units, is (a) (r^2)/4 sq. units (b) 2r^2 sq. units (c) r^2 sq. units (d) (r^2)/2 sq. units

If the area of the triangle is 4sq units, then x is

The tangents at the extremities of the latus rectum of the ellipse 3x^(2)+4y^(2)=12 form a rhombus PQRS. Area (in sq. units) of the rhombus PQRS outside and ellipse is equal to

FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. Let E be the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and C be the circle x^(...

    Text Solution

    |

  2. A tangent is drawn to the ellipse (x^(2))/(27)+y^(2)=1 at the point (3...

    Text Solution

    |

  3. The area of the quadrilateral formed by the tangents at the endpoint o...

    Text Solution

    |

  4. P is any point on the ellipise (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and S...

    Text Solution

    |

  5. The curve with parametric equations x=1+4 cos theta, y=2+3 sin theta ...

    Text Solution

    |

  6. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

    Text Solution

    |

  7. A perfectely rough plane is inclined at an angle alpha to the horizont...

    Text Solution

    |

  8. The locus of the point of intersection of the tangents drawn to the el...

    Text Solution

    |

  9. An ellipse of major and minor axes of length sqrt(3) and 1 respectivel...

    Text Solution

    |

  10. A tangent to the ellipse 4x^2 +9y^2 =36 is cut by the tangent at the e...

    Text Solution

    |

  11. Angle between tangents drawn from any point on the circle x^2 +y^2 = (...

    Text Solution

    |

  12. The locus of point intersection of perpendicular tangents of ellipse (...

    Text Solution

    |

  13. If alpha, beta are the eccentric angles of the extermities of a focal ...

    Text Solution

    |

  14. Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(...

    Text Solution

    |

  15. The locus of foot of perpendicular from focus of ellipse (x^(2))/(a^(2...

    Text Solution

    |

  16. The length of common chord of ellipse ((x-10)^(2))/(100)+((y-21)^(2))/...

    Text Solution

    |

  17. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

    Text Solution

    |

  18. Two perpendicular to S intersect at Q, then |OQ| is equal to (O being ...

    Text Solution

    |

  19. The minimum value of {(r+5 -4|cos theta|)^(2) +(r-3|sin theta|)^(2)} A...

    Text Solution

    |

  20. The locus of focus of ellipse with length of major axis 2a and minor a...

    Text Solution

    |