Home
Class 12
MATHS
The line passing through the extremity A...

The line passing through the extremity `A` of the major exis and extremity `B` of the minor axis of the ellipse `x^2+9y^2=9` meets is auxiliary circle at the point `Mdot` Then the area of the triangle with vertices at `A ,M ,` and `O` (the origin) is

A

`(31)/(10)`

B

`(29)/(10)`

C

`(21)/(10)`

D

`(27)/(10)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|5 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

Similar Questions

Explore conceptually related problems

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x^(2)+9 y^(2)=9 meets the auxiliary circle at the point M. Then the area of the triangle with vertices A, M and the origin O is

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

The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

Find the sum of the focal distance of any point on the ellipse 4x^2+9y^2=36 .

Find the co-ordinates of the foci, vertices and length of major axis of the ellipse (x^(2))/(36)+(y^(2))/(16)=1

If the line 3 x-2 y+6=0 meets x -axis and y -axis respectively at A and B , then the equation of the circle with radius A B and centre at A is

The equation of the auxiliary circle of the ellipse : 9x^(2)+4y^(2)-8y-32=0 is :

The locus of extremities of the latus rectum of the family of ellipse b^2x^2+y^2=a^2b^2 is

Find the coordinates of foci, the vertices length of major axes of the ellipse x^(2)/25+y^(2)/9=1 ?

The circle passing through the point (-1,0) and touching the y-axis at (0, 2) also passes through the point:

MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ
  1. A tangent at any point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is cut...

    Text Solution

    |

  2. If y=xand2x+3y=0 are equations of a pair of conjugate diameters of an ...

    Text Solution

    |

  3. If chord ofcontact ofthe tangents drawn from the point (alpha,beta)to ...

    Text Solution

    |

  4. If the polar of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is always touching t...

    Text Solution

    |

  5. S1 and S2 are the foci of the elipse x^2/sin^2 alpha+y^2/cos^2 alpha=1...

    Text Solution

    |

  6. Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1. ...

    Text Solution

    |

  7. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  8. If tanalphatanbeta=-(a^(2))/(b^(2)), then the chord joining the points...

    Text Solution

    |

  9. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  10. if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points ...

    Text Solution

    |

  11. Area of the greatest rectangle that can be inscribed in the ellipse (x...

    Text Solution

    |

  12. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  13. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

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

    Text Solution

    |

  15. If the locus of the middle point of the portion of a tangent of the el...

    Text Solution

    |

  16. In a model, it is shown that an arc of a bridge is semi-elliptical hav...

    Text Solution

    |

  17. A tangent is drawn at the point (3sqrt3costheta, sintheta) for 0ltthet...

    Text Solution

    |

  18. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

    Text Solution

    |

  19. The line passing through the extremity A of the major exis and extrem...

    Text Solution

    |

  20. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

    Text Solution

    |