Home
Class 12
MATHS
The area of the region bounded by the cu...

The area of the region bounded by the curves: `y=x^2` and `x=y^2` is:

A

`1/4`

B

`1/3`

C

4

D

3

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curves y=6x-x^2 and y=x^2-2x .

The area of the region bounded by the curves: y=x^3 , y=1/x , x=2 is

The area of the region bounded by the curve y=x^2 and the line y=16 is:

Find the area of the region bounded by the curves y=x^2 and y = sec^-1[-sin^2x], where [.] denotes G.I.F.

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

Find the area of the region bounded by the curve y=x^(2)+2,y=x,x=0 and x=3.

Find the area of the region bounded by the curve y=x^(2)+2,y=x,x=0 and x=3

The area of the region bounded by the curve y = x+1 and the lines x= 2, x= 3 and the x-axis is

Find the area of the region bounded by the curve y = x^2 and the line y = 9.

Find the area of the region bounded by the curves x=at^2 and y=2at between the ordinates corresponding to t=1 and t=2.

MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. The area of the figure bounded by the curves y=e^(x),y=e^(-x) and the ...

    Text Solution

    |

  2. The area of the region bounded by the curves: y=x^2 and x=y^2 is:

    Text Solution

    |

  3. The area of the region bounded by the curves: y=x^2 and x=y^2 is:

    Text Solution

    |

  4. The area of the region bounded by the curves: y=x^3, y=1/x, x=2 is

    Text Solution

    |

  5. The area of the plane region bounded by the curves x+2y^(2)= and x+3y^...

    Text Solution

    |

  6. The area of the region bounded by the parabola (y-2)^(2)=x-1, the tang...

    Text Solution

    |

  7. The area bounded by the curves y=cos x and y=sin x between the ordinat...

    Text Solution

    |

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

    Text Solution

    |

  9. If the straight line x=b divide the area enclosed by y=(1-x)^(2),y=0 a...

    Text Solution

    |

  10. Let f:[-1,2] to [0,oo] be a continuous function such that f(x)=f(1-x),...

    Text Solution

    |

  11. The area bounded by the curves y^2=4x and x^2=4y is :

    Text Solution

    |

  12. The area bounded between the parabola x^(2)=y/4 and x^(2)=9y and the s...

    Text Solution

    |

  13. The area (in sqaure units) bounded by the curves: y=sqrtx, 2y-x+3=0, x...

    Text Solution

    |

  14. The area enclosed by the curves: y=sin x+ cos x and y=cos x- sin x| ov...

    Text Solution

    |

  15. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

    Text Solution

    |

  16. The area (in sq. units) of the region described by {x,y):y^(2)le2x and...

    Text Solution

    |

  17. The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)...

    Text Solution

    |

  18. Using integration, find the area of the circle x^(2)+y^(2)=4

    Text Solution

    |

  19. Find the area bounded by y=x, the x-axis and the lines x=-1 and x=2.

    Text Solution

    |

  20. Calculate the area undder the curve : y=2sqrtx between the ordinates x...

    Text Solution

    |