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

The area (in sq. units) of the region `{(x,y):xge0,x+yle3,x^(2) le4y} and {yle1+sqrt(x)}` is

A

`59/12`

B

`3/2`

C

`7/3`

D

`5/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 3 Part - I|49 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

  • DPP

    RESONANCE ENGLISH|Exercise QUESTION|656 Videos

Similar Questions

Explore conceptually related problems

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

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

The area (in sq. units) of the region A=[(x,y):0leylexabsx+1" and "-1lexlex] is

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

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

The area (in sq. units) of the region A={(x,y)in R xx R |0 le x le 3, 0 le y le 4, y le x^(2) + 3x} is :

The area (in sq. units) of the region A={(x,y) inRRxxRR|0lexle3,0leyle4,ylex^(2)+3x} is:

RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - II
  1. Let [] denote the greatest integet function then the value int0^1.5 x[...

    Text Solution

    |

  2. The area of the region enclosed by the curve y=x, x=e,y=1/x and the po...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If g(x) = int(0)^(x) cost dt, then g(x+pi) equals

    Text Solution

    |

  6. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

    Text Solution

    |

  7. The area (in square units) bounded by the curves y=sqrt(x),2y-x+3=0, x...

    Text Solution

    |

  8. The integral int(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx is equals to...

    Text Solution

    |

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

    Text Solution

    |

  10. The integral int(2)^(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2))) dx is e...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. lim(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)is equal to

    Text Solution

    |

  14. The area (in sq. units) of the region {(x,y):xge0,x+yle3,x^(2) le4y} a...

    Text Solution

    |

  15. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to: ...

    Text Solution

    |

  16. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x))dx is

    Text Solution

    |

  17. "Let "f(x)=cos x^(2),f(x)-sqrt(x), and alpha, beta (alphaltbeta) be th...

    Text Solution

    |

  18. Let I=undersetaoversetbint(x^4-2x^2)dx. If is minimum, then the ordere...

    Text Solution

    |

  19. The value of underset(-pi//2)overset(pi//2)intdx/([x]+[sinx]+4) where ...

    Text Solution

    |

  20. The integral underset1overseteint{(x/e)^(2x)-(e/x)^x}logexdx is equal ...

    Text Solution

    |