Home
Class 12
MATHS
Tangents are drawn to the ellipse (x^(2)...

Tangents are drawn to the ellipse `(x^(2))/(9)+(y^(2))/(5)=1` at the ends of both latusrectum. The area of the quadrilateral so formed is

A

27 sq. units

B

`(13)/(2)`sq. units

C

`(15)/(4)`sq. units

D

45 sq. units

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos
  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn to the ellipse 5x^(2)+ 9y^(2)=45 at the four ends of two latera recta. The area (in square unit) of the quadrilateral so formed is-

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.

Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at the positive end of the latus rectum.

From the point A(4,3), tangent are drawn to the ellipse (x^2)/(16)+(y^2)/9=1 to touch the ellipse at B and CdotE F is a tangent to the ellipse parallel to line B C and towards point Adot Then find the distance of A from E Fdot

The line y=2t^(2) intersects the ellipse (x^(2))/(9)+(y^(2))/(4)=1 in real points if

Two tangents to the circle x^(2)+y^(2)=4 at the points A and B meet at M(-4, 0). The area of the quadrilateral MAOB, where O is the origin is

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 forms a triangle of constant area with the coordinate axes is (a) straight line (b) a hyperbola (c) an ellipse (d) a circle

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

If from a point P , tangents PQ and PR are drawn to the ellipse (x^2)/2+y^2=1 so that the equation of Q R is x+3y=1, then find the coordinates of Pdot

The eccentricity of the ellipse 5x^(2) + 9y^(2) = 1 is _

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2017-Multiple Choice Questions
  1. Let l=int(0)^(100pi)sqrt((1-cos2x))dx, then

    Text Solution

    |

  2. The area of the figure bounded by the parabolas x=-2y^(2) and x=1-3y^(...

    Text Solution

    |

  3. Tangents are drawn to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 at the end...

    Text Solution

    |

  4. The value of K in order that f(x)=sinx-cosx-Kx+5 decreases for all pos...

    Text Solution

    |

  5. For any vector vecx. Then value of (vecx xx hati)^(2)+(vecx xx hatj)^(...

    Text Solution

    |

  6. If the sum of two unit vectors is a unit vector. Then the magnitude of...

    Text Solution

    |

  7. Let alpha and beta be the roots of x^(2)+x+1=0. If n be positive integ...

    Text Solution

    |

  8. For real x, the greatest value of (x^(2)+2x+4)/(2x^(2)+4x+9) is

    Text Solution

    |

  9. Let A=((1,1,1),(0,1,1),(0,0,1)). Then for positive integer n. A^(n) is

    Text Solution

    |

  10. Let a, b, c be such that b(a+c)ne0. If |(a,a+1,a-1),(-b,b+1,b-1),(c,...

    Text Solution

    |

  11. Let f: R rarr R be twice continuously differentiable. Let f(0)=f(1)=f'...

    Text Solution

    |

  12. If f(x)=x^(n), n being a non-negative integer, then the values of n fo...

    Text Solution

    |

  13. Let f be a non-constant continuous function for all xge0. Let f satisf...

    Text Solution

    |

  14. If the line ax+by+c=0,abne0, is a tangent to the curve xy=1-2x. Then

    Text Solution

    |

  15. Two particles move in the same straight line starting at the same mome...

    Text Solution

    |

  16. The complex number z satisfying the equation |z-i|=|z+1|=1 is

    Text Solution

    |

  17. On R, the set of real numbers, a relation rho is defined as 'a rhob if...

    Text Solution

    |

  18. If a,b in {1,2,3} and the equation ax^(2)+bx+1=0 has real roots, then

    Text Solution

    |

  19. If the tangent to y^(2)=4ax at the point (at^(2),2at) where |t|gt1 is ...

    Text Solution

    |

  20. The focus of the conic x^(2)-6x+4y+1=0 is

    Text Solution

    |