Home
Class 12
MATHS
The area (in sq. units) of the quadri...

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

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

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -1)|9 Videos
  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -2)|7 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The area of the quadrilateral formed by the tangents at the end points of latus rectum of the ellipse 5x^(2) +9y^(2)=45 is

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 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

Find the area of parallelogram formed by tangents at the extremities of latera recta of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The area (in sq. units) bounded by the parabola y=x^2-1 , the tangent at the point (2,3) to it and the y-axis is

The area (in sq. units) of the triangle formed by the lines y=2x, y=-2x and the tangent at the point (sqrt5, 4) on 4x^(2)-y^(2)=4 is equal to

If a quadrilateral is formed by four tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 then the area of the square is equal to

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

DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
  1. The area (in sq. units) of the quadrilateral formed by the tangents...

    Text Solution

    |

  2. A circle C1, of radius 2 touches both x-axis and y- axis. Another circ...

    Text Solution

    |

  3. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

    Text Solution

    |

  4. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

    Text Solution

    |

  5. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

    Text Solution

    |

  6. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

    Text Solution

    |

  7. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  8. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  9. If from any point P, tangents PT, PT' are drawn to two given circles w...

    Text Solution

    |

  10. y=2x is a chord of the circle x^2 + y^2-10x = 0, then the equation of ...

    Text Solution

    |

  11. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

    Text Solution

    |

  12. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

    Text Solution

    |

  13. A rod AB of length 15 cm rests in between two coordinate axes in su...

    Text Solution

    |

  14. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  15. The eccentricities of the ellipse x^(2)/alpha^(2)+y^(2)/beta^(2)=1,alp...

    Text Solution

    |

  16. The middle point of chord x+3y=2 of the conic x^(2)+xy-y^(2)=1, is

    Text Solution

    |

  17. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

    Text Solution

    |

  18. If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the pon...

    Text Solution

    |

  19. The equation of the conic with focus at (1,-1), directrix along x -y +...

    Text Solution

    |

  20. The equation of one of the common tangent to the parabola y^(2) = 8x a...

    Text Solution

    |

  21. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

    Text Solution

    |