Home
Class 11
MATHS
A O B is the positive quadrant of the el...

`A O B` is the positive quadrant of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` which has `O A=a ,O B=b` . Then find the area between the arc `A B` and the chord `A B` of the ellipse.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which touches the line y=3x+2.

The parametric equations of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 are _

If the area of the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 is 4pi , then find the maximum area of rectangle inscribed in the ellipse.

If e be the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 , then e =

If any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 intercepts equal lengths l on the axes, then find l .

Find the slope of normal to the ellipse , (x^(2))/(a^(2))+(y^(2))/(b^(2))=2 at the point (a,b).

P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with A A ' as the major axis. Find the maximum area of triangle A P A '

The eqation of auxiliary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 is _

Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the tangent at each point makes equal angles with the axes.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The ratio of the area of triangle inscribed in ellipse x^2/a^2+y^2/b^...

    Text Solution

    |

  2. If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8,...

    Text Solution

    |

  3. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=...

    Text Solution

    |

  4. If Sa n dS ' are two foci of ellipse 16 x^2+25 y^2=400 and P S Q is ...

    Text Solution

    |

  5. Find the equations of the tangents drawn from the point (2, 3) to t...

    Text Solution

    |

  6. Prove that area common to ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its au...

    Text Solution

    |

  7. If the normal at P(2,(3sqrt(3))/2) meets the major axis of ellipse...

    Text Solution

    |

  8. Normal to the ellipse (x^2)/(64)+(y^2)/(49)=1 intersects the major...

    Text Solution

    |

  9. answer any two questions :(iii) if the straight line lx+my=n be a norm...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the norma...

    Text Solution

    |

  12. If omega is one of the angles between the normals to the ellipse (x^...

    Text Solution

    |

  13. If the normal at any point P on the ellipse x^2/a^2+y^2/b^2=1 meets t...

    Text Solution

    |

  14. P is the point on the ellipse isx^2/16+y^2/9=1 and Q is the correspond...

    Text Solution

    |

  15. If the normal at one end of the latus rectum of the ellipse (x^2)/(...

    Text Solution

    |

  16. If the normals to the ellipse x^2/a^2+y^2/b^2= 1 at the points (x1, y...

    Text Solution

    |

  17. Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

    Text Solution

    |

  18. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

    Text Solution

    |

  19. If any tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 intercepts e...

    Text Solution

    |

  20. Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b...

    Text Solution

    |