Home
Class 12
MATHS
The area (in sq. units) of the region ...

The area (in sq. units) of the region
`{(x,y):y^(2) le 2x and x^(2)+y^(2) le 4x , x ge 0, y le 0}, `is

A

`pi - 4/3`

B

`pi - 8/3`

C

`pi - (4 sqrt 2)/3`

D

`pi/2 - (2 sqrt 2)/3`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

Similar Questions

Explore conceptually related problems

The area (in square units) of the region {(x,y):y^(2) ge 2x and x^(2)+y^(2) le 4x, x ge 0, y ge 0} is

The area (in sq. units) of the region A={(x,y):x^(2) le y le x+2} is :

The area (in sq units) of the region A={(x,y): x^(2) le y le x +2} is

The area (in sq. units)of the region A={(x, y):x^(2)le y le x+2} is :

The area (in sq units) of the region A={(x,y):(y^(2))/(2) le x le y+4} is

The area (in square units) of the region described by {(x, y):y^(2)le 2x and y le 4-x} is

The area (in sq units) of the region described by {(x,y):y^(2)le2x and yge4x-1} is

If the area (in sq. units) of the region {(x,y):y^(2)le 4x, x+y le 1, x ge 0, y ge 0} is a sqrt(2) +b , then a-b is equal to :

NIKITA PUBLICATION-APPLICATION OF DEFINITE INTEGRAL-MULTIPLE CHOICE QUESTIONS:(MCQ)
  1. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

    Text Solution

    |

  2. The area of the plane region bounded by the curves x + 2y^(2)=0 and x+...

    Text Solution

    |

  3. Find the area enclosed between first quadrant of a circle x^2 + y^2 = ...

    Text Solution

    |

  4. Find the area enclosed between the circle x ^ 2 + y ^ 2 = 1...

    Text Solution

    |

  5. Using integration, find the area of the region common to the circle x^...

    Text Solution

    |

  6. The area lying above the X-axis and included between the circle x^(2) ...

    Text Solution

    |

  7. The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)...

    Text Solution

    |

  8. The area of the region described by A = {(x,y) : x^(2)+y^(2) le 1 and ...

    Text Solution

    |

  9. Find the area of the region {(x,y):y^2<=4x, 4x^2+4y^2<=9}

    Text Solution

    |

  10. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

    Text Solution

    |

  11. Find the area of the circle x^2+y^2=16 which is exterior to the parabo...

    Text Solution

    |

  12. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

    Text Solution

    |

  13. The area bounded by the curves x^(2) + y^(2) = 25, 4y = | 4 - x^(2) | ...

    Text Solution

    |

  14. The area of the region bounded by the lines y=2x+1y=3x+1 and x=4 is

    Text Solution

    |

  15. The area of Delta ABC whose vertices are A (2,5), B (4,7) and C(6,2) i...

    Text Solution

    |

  16. The area of Delta ABC with vertices A (2,1), B(3,4) and C (0.5) is

    Text Solution

    |

  17. Using integration, find the area of the triangle ABC whose vertices ar...

    Text Solution

    |

  18. The area of the region enclosed by the curves y = sin x and y = cos x ...

    Text Solution

    |

  19. The area of the region bounded by the curves y = exlog x and y = logx...

    Text Solution

    |

  20. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

    Text Solution

    |