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

The area (in sqaure units) of the region `{(x,y):x ge 0, x + y le 3, x^(2) le 4y and y le 1 + sqrt(x)}` is

A

`5/2`

B

`59/12`

C

`3/2`

D

`7/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Area of bounded Regions Exercise 7: Subjective Type Questions|1 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)le4x,xle0,yge0} is

find the area of the region {(x,y): x^2+y^2 le 4, x+y ge 2}

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

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

Draw the rough sketch and find the area of the region : {(x,y) : x^2 + y^2 le 4, x+y ge 2} .

Using integration , find the area of the region given below. {(x,y): 0 le y le x^2+1, 0 le y le x+1, 0 le x le 2}

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

    Text Solution

    |

  2. In Δ PQR, right-angled at Q, PR + QR = 30 cm and PQ = 10 cm. Determine...

    Text Solution

    |

  3. Let f:[-1,2]->[0,oo) be a continuous function such that f(x)=f(1-x)for...

    Text Solution

    |

  4. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

    Text Solution

    |

  5. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

    Text Solution

    |

  6. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

    Text Solution

    |

  7. Find the product of (x - 4)(x - 7)

    Text Solution

    |

  8. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

  9. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

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

    Text Solution

    |

  11. The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)...

    Text Solution

    |

  12. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

    Text Solution

    |

  13. The area (in sq. units) of the quadrilateral formed by the tangents ...

    Text Solution

    |

  14. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

    Text Solution

    |

  15. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

    Text Solution

    |

  16. The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and ...

    Text Solution

    |

  17. The area of the region enclosed by the curves y=x, x=e,y=(1)/(x) and t...

    Text Solution

    |

  18. The area bounded by the y-axis, y = cosx, and y = sinx when 0<x<π/2 is...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |