Home
Class 12
MATHS
Find the area of the region bounded by t...

Find the area of the region bounded by the ellipse `x^2 / a^2 + y^2 / b^2 = 1`

Text Solution

Verified by Experts

To find ,Area Enclosed by ellipse
Here, Ellipse is symmetrical about both x-axis and y-axis `=4 times int_{0}^{a} y d x`
It is known that,
...
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF VECTORS

    RD SHARMA|Exercise Solved Examples And Exercises|331 Videos

  • ARITHMETIC PROGRESSION

    RD SHARMA|Exercise EXAMPLE|5 Videos

Similar Questions

Explore conceptually related problems

The area of the region bounded by the ellipse (x^(2))/25+y^(2)/16=1 is

The area of the region bounded by the ellipse (x^(2))/25+y^(2)/16=1 is

Find the area of the region bounded by the ellipse (x^(2))/(16)+(y^(2))/(9)=1

Find the area of the region bounded by the ellipse (x^(2))/(4)+(y^(2))/(9)=1

Find the area of the region bounded by the curves x=2y-y^2 and y=2+x .

Find the area of the region bounded by the ellipse (x^(2))/(9)+(y^(2))/(4)=1 in fourth quadrant.

Find the area of the region bounded by the ellipse (x ^(2))/(4) + (y ^(2))/(9) =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

RD SHARMA-APPLICATION OF INTEGRALS-Solved Examples And Exercises
  1. Examples: Find the area bounded by the parabola y^2 = 4ax and its latu...

    Text Solution

    |

  2. Using integration, find the area of the region bounded by the parabola...

    Text Solution

    |

  3. Find the area of the region bounded by the ellipse x^2 / a^2 + y^2 / b...

    Text Solution

    |

  4. Draw a rough sketch of the curve y = cos^2 x in [0, 1] and find the ar...

    Text Solution

    |

  5. Find the area of the region bounded by the line y=3x+2, the x-axis and...

    Text Solution

    |

  6. Using the method of integration find the area bounded by the curve |x|...

    Text Solution

    |

  7. Find the area lying above the x-axis and under the parabola y=4x-x^2

    Text Solution

    |

  8. Draw a rough sketch to indicate the region bounded between the curve y...

    Text Solution

    |

  9. Make a rough sketch of the graph of the function y=4-x^2,\ 0lt=xlt=2 a...

    Text Solution

    |

  10. Using integration, find the area bounded by the lines x+2y=2, y−x=1 an...

    Text Solution

    |

  11. Find the area under the curve y=sqrt(6x+4)(above the x-axis) from x=0 ...

    Text Solution

    |

  12. Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by t...

    Text Solution

    |

  13. Draw a rough sketch of the graph of the curve x^2/4+y^2/9=1 and evalua...

    Text Solution

    |

  14. Using integration, find the area of the region bounded by the line 2y ...

    Text Solution

    |

  15. Sketch the graph of y=|x-5|. Evaluate int0^1 |x-5|dx. What does this v...

    Text Solution

    |

  16. Sketch the graph of y=|x+3|. Evaluate int-6^0 |x+3|dx. What does the v...

    Text Solution

    |

  17. The area of the region bounded by the curve xy-3-2y- 10=0, X-axis and ...

    Text Solution

    |

  18. Draw a rough sketch of the curve y=x/pi + 2 sin^2 x, and find the area...

    Text Solution

    |

  19. Draw a rough sketch of the curve y=x/pi + 2 sin^2 x, and find the area...

    Text Solution

    |

  20. Find the area bounded by the curve y=cos x ,\ x-axis and the ordinate...

    Text Solution

    |