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

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

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Exercise 8.1|13 Videos
  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Exercise 8.2|7 Videos
  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.6|24 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    NCERT TAMIL|Exercise Exercise 7.10|20 Videos

Similar Questions

Explore conceptually related problems

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

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 parabolas y^2=4x and x^2=4y .

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

Find the area of the region bounded by the parabola y^(2) = 4x and the line y = 2x .

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

In what ratio does the x-axis divide the area of the region bounded by the parabolas y=4x-x^2a n dy=x^2-x ?

Find the area of the region bounded by the curve y = x^(2) and the line y = 4.

NCERT TAMIL-APPLICATION OF INTEGRALS-Miscellaneous Exercise
  1. Find the area of the region bounded by the two parabolas y = x^(2) and...

    Text Solution

    |

  2. Find the area under the given curves and given lines: (i) y = x^(2),...

    Text Solution

    |

  3. Find the area between the curves y = x and y = x^(2).

    Text Solution

    |

  4. Find the area of the region lying in the first quadrant and bounded by...

    Text Solution

    |

  5. Sketch the graph of y = |x + 3| and evaluate int(-6)^(0)|x + 3| dx.

    Text Solution

    |

  6. Find the area bounded by the curve y = sin x between x = 0 and x = 2pi...

    Text Solution

    |

  7. Find the area enclosed between the parabola y^(2) = 4ax and the line y...

    Text Solution

    |

  8. Find the area enclosed by the parbola 4y=3x^(2) and the line 2y = 3x +...

    Text Solution

    |

  9. Find the area of the smaller region bounded by the ellipse (x^(2))/(9)...

    Text Solution

    |

  10. Find the area of the smaller region bounded by the ellipse (x^(2))/(a^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Find the area bounded by curves {(x,y): y ge x^(2) and y = |x|}

    Text Solution

    |

  14. Using the method of integration find the area of the triangle ABC, coo...

    Text Solution

    |

  15. Using the method of integration find the area of the region bounded by...

    Text Solution

    |

  16. Find the area of the region {(x,y): y^(2) le 4x, 4x^(2) + 4y^(2) le 9...

    Text Solution

    |

  17. The area bounded by the curve y = x|x|, x-axis and the ordinates x = -...

    Text Solution

    |

  18. The area bounded by the curve y = x^(3), x-axis and the ordinates: x =...

    Text Solution

    |

  19. The area of the circle x^(2) + y^(2) = 16 exterior to the parabola y^(...

    Text Solution

    |

  20. The are a bounded by the y-axis, y = cos x and y sin x when 0 le x le ...

    Text Solution

    |