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

`(64)/(17)` sq. units
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - H ( Multiple True-False Type Questions )|5 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the distance between a focus and an extremity of the minor axis of the ellipse (i) 4x^(2)+5y^(2)=100" (ii) "x^(2)/a^(2)+y^(2)/b^(2)=1 .

Normal is drawn at one of the extremities of the latus rectum of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 which meets the axes at points Aa n dB . Then find the area of triangle O A B(O being the origin).

Normal is drawn at one of the extremities of the latus rectum of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 which meets the axes at points Aa n dB . Then find the area of triangle O A B(O being the origin).

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

Prove that area common to ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its auxiliary circle x^2+y^2=a^2 is equal to the area of another ellipse of semi-axis a and a-b.

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

The locus of the mid-points of the chords of the ellipse x^2/a^2+y^2/b^2 =1 which pass through the positive end of major axis, is.

Two lines are drawn through (3,4), each of which makes angle of 45^(@) with the line x-y = 2 . Then area of the triangle formed by these lines is (a) 9 (b) 9/2 (c) 2 (d) 2/9

The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing through the origin and touching the line y=x always passes through the point. (a) (-1/2,1/2) (b) (1, 1) (c) (1/2,1/2) (d) none of these

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
  1. Two circles are inscribed and circumscribed about a square ABCD, lengt...

    Text Solution

    |

  2. The square of the length of the tangent drawn from any point on the ci...

    Text Solution

    |

  3. l and m are the lengths of the tangents from the origin and the point ...

    Text Solution

    |

  4. The least distance between two points P and Q on the circle x^(2) + y^...

    Text Solution

    |

  5. The sum of the square of the length of the chord intercepted by the li...

    Text Solution

    |

  6. The area of the region bounded by the curves {(x,y) : x^(2) + y^(2) le...

    Text Solution

    |

  7. The chord of contact of tangents from 3 points A, B, C to the circle x...

    Text Solution

    |

  8. Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0...

    Text Solution

    |

  9. If the tangent at P to the parabola y^(2) =7x is parallel to 6y -x + 1...

    Text Solution

    |

  10. Find the equation of common tangent of y^(2)=4axandx^(2)=4by.

    Text Solution

    |

  11. The mirror image of the parabola y^(2)=4x in the tangent to the parabo...

    Text Solution

    |

  12. Locus of the point of intersection of the tangents to (x^(2))/((73)^(2...

    Text Solution

    |

  13. Find the equation of the circle passing through the points of intersec...

    Text Solution

    |

  14. find the equation of parabola which is symmetric about y-axis,and pass...

    Text Solution

    |

  15. Find the point on the curve 3x^2-4y^2=72 which is nearest to the line ...

    Text Solution

    |

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

    Text Solution

    |

  17. If the tangents and normal to an ellipse 9x^(2) + 16y^(2) = 144 at a p...

    Text Solution

    |

  18. A chord of parabola y^2=4ax subtends a right angle at the vertex. Find...

    Text Solution

    |

  19. Let PN be the ordinate of a point P on the hyperbola x^2/(97)^2-y^2...

    Text Solution

    |

  20. Let C be a curve which is the locus of the point of intersection of li...

    Text Solution

    |