Home
Class 12
MATHS
The area enclosed by the ellipse (x^(2))...

The area enclosed by the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1` is equal to

Text Solution

Verified by Experts

The correct Answer is:
`(3sqrt(3))/(4) `ab
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.5|48 Videos

  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

(1) Draw the rough sketch of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 . Find the area enclosed by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 .

Find the area bounded by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 and the lines x = 0 and x = ae where b^(2) = a^(2)(1 - e^(2)) and e lt 1 .

Find the area of the smaller region bounded by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 and the line (x)/(a) + (y)/(b) = 1 .

AB and CD are two equal and parallel chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 . Tangents to the ellipse at A and B intersect at P and tangents at C and D at Q. The line PQ

Sum of the focal distance of the ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1 is

Find the area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 .

Area of the greatest rectangle inscribed in the ellipse x^(2)/a^(2) + y^(2)/b^(2) =1 is

Volume of solid obtained by revolving the area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 about major and minor axes are in tha ratio……

NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Show that the normal at any point θ to the curve x = a costheta + a th...

    Text Solution

    |

  2. Find the intervals in which the function f given by f(x) = (4sin x-2...

    Text Solution

    |

  3. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  4. The area enclosed by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1...

    Text Solution

    |

  5. A tank with rectangular base and rectangular sides, open at the top is...

    Text Solution

    |

  6. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  7. A window is in the form of a rectangle surmounted by a semicircular op...

    Text Solution

    |

  8. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  9. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  10. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  11. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  12. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

    Text Solution

    |

  13. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  14. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

  15. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  16. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |

  17. The line y = mx + 1 is a tangent to the curve y^(2)= 4x if the value o...

    Text Solution

    |

  18. The normal at the point (1,1) on the curve 2y + x^(2) = 3 is

    Text Solution

    |

  19. Find the equation of the normal to the curve x^(2) = 4y which passes t...

    Text Solution

    |

  20. The points on the curve 9y^(2) = x^(3) , where the normal to the curve...

    Text Solution

    |