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 31/10 (b) 29/10 (c) 21/10 (d) 27/10

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

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|3 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

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 M. Then the area of the triangle with vertices at A,M, and O (the origin) is 31/10(b) 29/10(c) 21/10 (d) 27/10

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x^(2) + 16y^(2) = 16 meets its auxiliary circle of the point M. Then the area of the triangle with vertices of A, M and the origin O is ____________ .

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

The line passing through the extremity A of major axis and extremity B of the minor axes of the ellipse 9x^2 + 16y^2 = 144 meets the circle x^2+ y^2 =16 at the point P. Then the area of the triangle OAP, O being the origin (in square units) is

Find the area of triangle ABC with vertices are A(4,2),B(3,9) and C(10,10)

The vertices of a quadrilateral are situated at foci and the extrimities of the minor axis of the ellipse 4x^(2) + 9y^(2) = 36 . Find the area of the quadrilateral .

If one extremity of the minor axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the foci form an equilateral triangle,then its eccentricity,is

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

    Text Solution

    |

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

    Text Solution

    |

  3. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

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

    Text Solution

    |

  5. a triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  6. The conic having parametric representation x=sqrt3((1-t^(2)/(1+t^(2)))...

    Text Solution

    |

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

    Text Solution

    |

  8. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  9. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  10. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

    Text Solution

    |

  11. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

  12. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  13. Statement 1: An equation of a common tangent to the parabola y^2=16...

    Text Solution

    |

  14. An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^...

    Text Solution

    |

  15. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  16. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |

  17. The locus of the foot of prependicular drawn from the center of the el...

    Text Solution

    |

  18. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  19. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

    Text Solution

    |

  20. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

    Text Solution

    |