Home
Class 12
MATHS
Prove that the curves y^2 = 4x, x^2 = 4y...

Prove that the curves `y^2 = 4x, x^2 = 4y`, divide the area of the square bounded by `x = 0, x= 4, y = 4, y = 0` into three equal parts.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    PSEB|Exercise Exercise|38 Videos
  • APPLICATION OF DERIVATIVES

    PSEB|Exercise Exercise|189 Videos

Similar Questions

Explore conceptually related problems

find the area of the region bounded by 'y^2=4x' and x=2

Find the area of the region bounded by y=4x^2 ,x=0,y=1,y=4 in the first quadrant.

Find the area of the region bounded by x^2 = 4y, y=2, y=4 and the y-axis in the first quadrant.

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

Find the area of the region bounded by x^2 = 4y , y = 2,y=4 and the y-axis in the first quadrant.

Find the area of the region bounded by the curves y = x^2, y = x, x = 0 and x = 3 .

PSEB- APPLICATION OF INTEGRALS-Exercise
  1. Prove that the curves y^2 = 4x, x^2 = 4y, divide the area of the squar...

    Text Solution

    |

  2. Find the area of the region bounded by the curve y = x, and the lines ...

    Text Solution

    |

  3. Find the area of the region bounded by y^2 = 9x, x=2, x=4 and the x-a...

    Text Solution

    |

  4. Find the area of the region bounded by x^2 = 4y, y=2, y=4 and the y-ax...

    Text Solution

    |

  5. Using integration find the area of region bounded by the ellipse x^2/1...

    Text Solution

    |

  6. Find the area of region bounded by the ellipse x^2/4 + y^2/9 = 1

    Text Solution

    |

  7. Find the area of the region in the first quadrant enclosed by x-axis, ...

    Text Solution

    |

  8. Find the area of the smaller part of the circle x^2+y^2=a^2 cut off by...

    Text Solution

    |

  9. The area between the curve y=x^2, x-axis and the lines x=0 and x=2 is ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find the area of the region bounded by the curve y^2 = 4x and the lin...

    Text Solution

    |

  13. Area lying in the first quadrant and bounded by the circle x^2 + y^2 =...

    Text Solution

    |

  14. Find the area of the region bounded by the curve y^2 = 4x, y-axis and ...

    Text Solution

    |

  15. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

    Text Solution

    |

  16. Calculate the area of the region enclosed between the circles : x^2 + ...

    Text Solution

    |

  17. Find the area of the region bounded by the curves y = x^2, y = x, x...

    Text Solution

    |

  18. Using integration find the area of the region bounded by the triangle ...

    Text Solution

    |

  19. Using integration find the area of triangle whose sides are given by t...

    Text Solution

    |

  20. Smaller area enclosed by the circle x^2+y^2 = 4 and the line x + y = ...

    Text Solution

    |

  21. Area lying between the curve y^2 = 4x and the line y = 2x is :

    Text Solution

    |