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

The area of the rectangle formed by the perpendiculars from the centre of the ellipse `(x^(2))/(9)+(y^(2))/(4)=1` to the tangent and normal at the point whose eccentric angle is `(pi)/(4)`, is :

A

`(30)/(17)` sq. units

B

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

C

`(27)/(17)` sq. units

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

  • UNIT TEST PAPER NO. 5 (CALCULUS)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

Similar Questions

Explore conceptually related problems

Find the eccentricity of the ellipse (x^2)/(9)+(y^2)/(4)=1

Area of the ellipse x^(2)/9+y^(2)/4=1 is

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

The eccentricity of the ellipse (x^(2))/(36)+ (y^(2))/(16)=1 is

The centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 is

The eccentricity to the ellipse (x^(2))/(36)+(y^(2))/(16)=1 is

The locus of the point of intersection of the perpendicular tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

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

Find the centre of the ellipse (x-2)^2/4+(y-4)^2/16=1

The product of the perpendiculars from the foci on any tangent to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 is

MODERN PUBLICATION-UNIT TEST PAPER NO. 2 (GEOMETRIES)-Select the correct answer
  1. Volume of a tetrahedron is k (area of one face) (length of perpendicul...

    Text Solution

    |

  2. Area of the triangle with vertices (a, b ), (x(1), y(1)) and (x(2), y(...

    Text Solution

    |

  3. ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two parallel straight lines ...

    Text Solution

    |

  4. The lines joining the origin to the points of intersection of the curv...

    Text Solution

    |

  5. Range of volues of m for which the st. line y=mx+2 cuts the circle x^(...

    Text Solution

    |

  6. The abscissae of two points P and Q are the roots of the equation x^(2...

    Text Solution

    |

  7. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

    Text Solution

    |

  8. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  9. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

    Text Solution

    |

  10. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  11. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

    Text Solution

    |

  12. The points representing root3(5+isqrt(3)) lie.

    Text Solution

    |

  13. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

    Text Solution

    |

  14. The area of the rectangle formed by the perpendiculars from the centre...

    Text Solution

    |

  15. A ray of light coming along the line 3x+4y-5=0 gets reflected from th...

    Text Solution

    |

  16. If P and Q are two points on the circle : x^(2)+y^(2)-4x-4y-1=0, whi...

    Text Solution

    |

  17. A focal chord of y^(2)=4ax meets it in P and Q. If S is the focus, th...

    Text Solution

    |

  18. The eccentric angles of the extremities of latus-rectum to the ellips...

    Text Solution

    |

  19. The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^...

    Text Solution

    |

  20. Tangent at any point 'P' of the ellipse 9x^(2)+16y^(2)-144=0 is drawn....

    Text Solution

    |