Home
Class 12
MATHS
Prove that the curves y^(2)=4x and x^(2)...

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

Promotional Banner

Topper's Solved these Questions

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • AREAS

    AAKASH SERIES|Exercise Solved Examples|9 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Sequence and series|12 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.4 (Level-2) |36 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by x=4-y^(2), x= 0

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

The area of the curve y=x^(2) bounded by x = 0, x = 2 and y = 0 is

Find the area of the region enclosed by the curves x^(2)=4y, x=2y and y=0

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

The area of the triangle formed by the lines 2x+y-4=0, 3x+2y-5=0, x+y+1=0 is

AAKASH SERIES-AREAS-Exercise-3.1
  1. Find the area enclosed between the curves y= x^(2)-5x and y= 4-2x

    Text Solution

    |

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

    Text Solution

    |

  3. Find the area enclosed between the curves y=x^(2)+1,y=2x-2 and the o...

    Text Solution

    |

  4. Find the area enclosed between the curves y^(2)=2x,y=4x-1

    Text Solution

    |

  5. Find the area enclosed between the curves y^(2)=2x+6 and y=x-1

    Text Solution

    |

  6. Find the area enclosed between the curves y=4x^(2) and y=x^(2)+3

    Text Solution

    |

  7. Find the area enclosed between the curves y=x^(2),y=2x-x^(2)

    Text Solution

    |

  8. Find the area enclosed between the curves y= |x| and y= x^(2)-2

    Text Solution

    |

  9. Find the area enclosed between the curves y= sin pi x, y = x^(2)-x ...

    Text Solution

    |

  10. Find the area between x-axis and the curve y=(x-1)^(2)-25.

    Text Solution

    |

  11. Find the area of the region formed by the segment cut off from the par...

    Text Solution

    |

  12. Find the area of the region bounded by y^(2)=4ax between the lines x=a...

    Text Solution

    |

  13. The area of the region bounded by the curve sqrtx+sqrty=sqrta(x,ygt0) ...

    Text Solution

    |

  14. Find the area in Sq. units bounded by the x-axis , part of the curve y...

    Text Solution

    |

  15. Let AOB be the positive quadrant of the ellipse (x^(2))/(a^(2))+(y^(2)...

    Text Solution

    |

  16. Find the area of the region in the first quadrant enclosed by the x-ax...

    Text Solution

    |

  17. Prove that the curves y^(2)=4x and x^(2)=4y divide the area of the squ...

    Text Solution

    |

  18. Find the area of the right angled triangle with base b and altitude h,...

    Text Solution

    |

  19. Find the area of the Delta le formed by the straight line 2x+y=2 and t...

    Text Solution

    |

  20. If the regions A and B are given by A= {(x,y): y gt x}, B= {(x,y): y l...

    Text Solution

    |