Home
Class 12
MATHS
For an ellipse (x^2)/(a^2) +(y^2)/(b^2...

For an ellipse ` (x^2)/(a^2) +(y^2)/(b^2) =1, a gt b ` , the area enclosed by two latus rectum is ……. ( where is the eccentricity of an ellipse )

A

`b ( b e + a sin^(-1) 2e)`

B

`8b ( b e + a sin^(-1) e)`

C

`(2b ( be + a sin ^(-1) e)`

D

`4b ( b e + a sin^(-1) e)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -A)|6 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -B)|3 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( OBJECTIVE TYPE QUESTIONS)|11 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 Videos
  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

Similar Questions

Explore conceptually related problems

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

Area bounded between two latus-rectum of the ellipse (x^(2))/(a^(2))+ (y^(2))/(b^(2))= 1, a gt b is _____ (where, e is eccentricity of the ellipse)

Ellipse x^2/(25)+y^2/(9) =1 is symmetric about Y - axis.

Area bounded by the ellipse (x^2 )/(4) +(y^2)/(16) =4 is …….

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

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

Find the area enclosed by the circle x^(2) + y^(2) = a^(2) .

If the latus rectum of an ellipse is equal of half of minor axis, then find its eccentricity.

KUMAR PRAKASHAN-APPLICATION OF INTEGRALS-SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( MULTIPLE CHOICE QUESTIONS)
  1. The area of the region bounded by the curve y=x^2 -x-6 ,y=0 ,x=-1 and...

    Text Solution

    |

  2. The area of the region bounded by the parabola y^2 = 4ax and it...

    Text Solution

    |

  3. For an ellipse (x^2)/(a^2) +(y^2)/(b^2) =1, a gt b , the area encl...

    Text Solution

    |

  4. The area of the region bounded by the curve y=|x-1| and y=3 - |X...

    Text Solution

    |

  5. Find the area enclosed by the parabola (y-2)^2 = x -1 , x -axis a...

    Text Solution

    |

  6. The area of the region enclosed between the curves y= sinx + cos...

    Text Solution

    |

  7. The area of the region bounded by the curves y= x^2 and y= sqr...

    Text Solution

    |

  8. The tangent at a point (1,1) to the curve f(x) = x^2 + bx - b ...

    Text Solution

    |

  9. The area of the region enclosed by the curves y= sin x, y = co...

    Text Solution

    |

  10. The area of the region enclosed by the curve y= loge x and y...

    Text Solution

    |

  11. The area of the region bounded by the curve (y-x)^2 =x^3 and the ...

    Text Solution

    |

  12. The area of the region bounded by the curve y= [(x^2 )/(64 ) +2]...

    Text Solution

    |

  13. The area of smallest region enclosed by the circle x^2 +y^2 =9 ...

    Text Solution

    |

  14. The curve y= a sqrt(x) + bx is passing through (1,2) the area...

    Text Solution

    |

  15. The area of the region bounded bwtween the curve y=2^x and y=...

    Text Solution

    |

  16. The ratio of the area of the region of the curves y=cos x and ...

    Text Solution

    |

  17. The area of the region bounded by the curve y=|[x-3]|, X - axis...

    Text Solution

    |

  18. The area of the region bounded by the curve y= x^2 +2x +1, Y- ...

    Text Solution

    |

  19. f(x) = {{:(x^2,"," x le 0),( x,"," x ge 0):} the area of the regio...

    Text Solution

    |

  20. f(x) = max { sin x, cos x, 1/2} the area of the region bounded b...

    Text Solution

    |