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

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

Promotional Banner

Topper's Solved these Questions

  • Applications of Derivatives

    CHETANA PUBLICATION|Exercise Exercise|144 Videos

Similar Questions

Explore conceptually related problems

If the area of the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

If the equation of ellipse is (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2))=1 then SP+S'P=

If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hyperbola (x^(2))/(144)-(y^(2))/(81)=(1)/(25) coincide, the find the value of b^(2) .

the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/(49)=1 , is

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be the reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be the reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is

Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(2))/(b ^(2)) =1 be reciprocal to that of the ellipse x ^(2) + 9y ^(2) =9, then the ratio a ^(2) : b ^(2) equals

CHETANA PUBLICATION-APPLICATION OF DEFINITE INTEGRATION-EXERCISE
  1. The area bounded by the curve y=3x^2-4x+k,the X-axis and the ordinates...

    Text Solution

    |

  2. Find the area in the first quadrant enclosed by the X-axis, the arc o...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the area bounded by the curve y=2x-x^2 and the line y=-x.

    Text Solution

    |

  5. Find the area of the circle x^2+y^2=r^2,by using integration.

    Text Solution

    |

  6. The area of the region enclosed by the curve y=1/x and the lines x=e,x...

    Text Solution

    |

  7. The area bounded by the curve y=x^3,the X-axis and the lines x=-2and x...

    Text Solution

    |

  8. The area enclosed between the parabola y^2=4x and lines y=2x is…….

    Text Solution

    |

  9. The area of the region bounded between the line x=4 and the parabola y...

    Text Solution

    |

  10. The area of the region bounded by y=cos x,Y-axis and the lines x=0,x=2...

    Text Solution

    |

  11. The area bounded by the parabola y^2=8x,the X-axis and the lactus rect...

    Text Solution

    |

  12. The area under the curve y=2 sqrt x,enclosed between the lines x=0,x=1...

    Text Solution

    |

  13. The area of the circle x^2+y^2=25 in first quadrant is………….a) 5 sq.un...

    Text Solution

    |

  14. The area of the region bounded by the ellipse x^2/a^2+y^2/b^2=1 is………a...

    Text Solution

    |

  15. The area bounded by the parabola y^2=x and the line 2y=x is………..a) 4/3...

    Text Solution

    |

  16. The area enclosed between curve y=cos 3x,0lexlepi/6 and the X-axis is…...

    Text Solution

    |

  17. The area bounded by y=sqrt x and the line x=2y+3,X-axis in first quadr...

    Text Solution

    |

  18. The area bounded by the ellipse x^2/a^2+y^2/b^2=1 and the line x/a+y/b...

    Text Solution

    |

  19. The area bounded by the parabola y=x^2 and the line y=x is………….a)1/2 b...

    Text Solution

    |

  20. The area between the parabola y^2=4x and line y=x is……sq. units. a)8/3...

    Text Solution

    |