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

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Exercise 8.1|13 Videos

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Exercise 8.2|7 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.6|22 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|22 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

NCERT TELUGU-APPLICATION OF INTEGRALS-Miscellaneous Exercise
  1. Prove that the curves y^(2)=4x and x^(2)=4y divide the area of the squ...

    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 = |3| and evaluate int(-6)^(0)|x+3|dx .

    Text Solution

    |

  6. The area of the region bounded by the curve y=sinx, x-axis in [0,2pi] ...

    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 parabola 4y = 3x^(2) and the line 2y = 3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 ...

    Text Solution

    |

  17. Area bounded by the curve v=x, the x-axis and the ordinates x = -2 and...

    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

    |