Home
Class 12
MATHS
Find the common area of x^2=y and y^2 =x...

Find the common area of `x^2=y and y^2 =x`.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISES 9.10|20 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Answer the following question)|39 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the common tangent of y^2=4a x and x^2=4a ydot

Find the angle which the common chord of x^2+y^2-4y=0 and x^2+y^2=16 subtends at the origin.

Find the area of the circle x^(2) + y^(2) = a^(2) using integration.

Find the area of the circle x^(2) + y^(2) = 4 using integration.

Find the area of the region bounded by the parabolas x^(2) = 16y and y^(2) = 16x .

Find the area of the region bounded by the two parabolas y = x^(2) and y^(2) = x .

Find the area bounded by y=x^(2) and y=x^(1//3)" for "x in [-1,1].

Find the area bounded by x=2y-y^2

Find the area of the region bounded by the parabola y = x^(2) and y = |x| .

PREMIERS PUBLISHERS-APPLICATIONS OF INTEGRATION-PROBLEMS FOR PRACTICE (CHOOSE THE CORRECT ANSWER) :
  1. The volume of solid obtained by revolving (x^2)/(9)+(y^2)/(16)=1 about...

    Text Solution

    |

  2. int(0)^((pi)/( 4)) cos^(3) 2x dx = "….........."

    Text Solution

    |

  3. The value of int(0)^(pi) sin^(4) x dx is

    Text Solution

    |

  4. int(0)^((pi)/(2)) e^(2x) cos xdx is :

    Text Solution

    |

  5. int(0)^((3)/(2)) sqrt(9-4x^2)dx=.

    Text Solution

    |

  6. int(0)^((pi)/(2)) sin^7 xdx is :

    Text Solution

    |

  7. The area of the region bounded by y=x^2-5x+4,x=2,x=3 and the x axis is...

    Text Solution

    |

  8. Find the area of the region bounded by x^2=36y y axis y=2 and y=4.

    Text Solution

    |

  9. Find the common area of x^2=y and y^2 =x.

    Text Solution

    |

  10. int(-2)^(2)(2-x)^2dx is :

    Text Solution

    |

  11. The volume of the solid formed by revolving the area of the circle x^2...

    Text Solution

    |

  12. The volume generated by the region bounded by the curve y=sqrt(x) and ...

    Text Solution

    |

  13. The volume generated by rotating the triangle with vertices (0,0),(4,0...

    Text Solution

    |

  14. The area bounded by y=cos x -sin x between x=0 and x=pi is :

    Text Solution

    |

  15. The volume of solid obtained by revolving the curve y=sec x between x=...

    Text Solution

    |

  16. The plane region bounded by the curve y=sqrt(cosx), 0 le x le (pi)/(2)...

    Text Solution

    |

  17. int(a)^(b) f(x) dx =

    Text Solution

    |

  18. If int(0)^(a) f(x) dx + int(0)^(a) f(2a-x) dx =

    Text Solution

    |

  19. The area between x^2=4-y and the lines y=0,y=3 is :

    Text Solution

    |

  20. The volume of a spherical cap of height (a)/(2) cut off from the spher...

    Text Solution

    |