Home
Class 12
MATHS
Find the area of the ellipse (x^2)/(a^2)...

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

A

`pib(a-b)`

B

`2pia(a-b)`

C

`pia(a-b)`

D

`2pib(a-b)`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise EXERCISE 9.10|20 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

Similar Questions

Explore conceptually related problems

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.

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

Find the eccentric angles of the extremities of the latus recta of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1

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……

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.

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.

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

A parabola is drawn with focus at one of the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is (a) 1-1/(sqrt(2)) (b) 2sqrt(2)-2 (c) sqrt(2)-1 (d) none of these

Extremities of the latera recta of the ellipses (x^2)/(a^2)+(y^2)/(b^2)=1(a > b) having a given major axis 2a lies on

FULL MARKS-APPLICATIONS OF INTEGRATION-ADDITIONAL PROBLEMS
  1. int(0)^((pi)/(2)) sin^7 xdx is :

    Text Solution

    |

  2. Evaluate int(0)^((pi)/(2))sin^4 x cos^2xdx.

    Text Solution

    |

  3. Find the area of the region bounded by y^2=4ax and x=|y|.

    Text Solution

    |

  4. Find the area of bounded by the curve y=x^(3) and thr liney=x.

    Text Solution

    |

  5. Find the area of the loop and the curve 3ay^(2)=x(x-a)^(2)1.

    Text Solution

    |

  6. Find the area between the line y=x+1 and the curve y=x^(2)-1

    Text Solution

    |

  7. The volume of the solid that results when the region enclosed by (x^(2...

    Text Solution

    |

  8. Find the volume of the solid generated when the region enclosed by y=s...

    Text Solution

    |

  9. The area bounded by the line y=x, the x-axis , the ordinates x=1,x=2 i...

    Text Solution

    |

  10. The area of the region bounded by the graph of y =sin x and y = cos x...

    Text Solution

    |

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

    Text Solution

    |

  12. The area bounded by the parabola y^(2) = x and its latus rectum is

    Text Solution

    |

  13. The volume of solid obtained by revolving (x^2)/(9)+(y^2)/(16)=1 about...

    Text Solution

    |

  14. The volume when y = sqrt( 3 + x^(2)) from x = 0 to x = 4 is rotated a...

    Text Solution

    |

  15. the volume generated when the region bounded by y=x, y=1, x=0, is rota...

    Text Solution

    |

  16. Volume of solid obtained by revolving the area of the ellipse (x^(2))/...

    Text Solution

    |

  17. The volume generated by rotating the triangle with vertices at (0,0), ...

    Text Solution

    |

  18. The length of th arc of the curve x^(2//3)+y^(2//3)=4 is…..

    Text Solution

    |

  19. The surface area of the solid of revolution of the region bounded by ...

    Text Solution

    |

  20. The curved surface area of a sphere of radius 5, intercepted between t...

    Text Solution

    |