Home
Class 12
MATHS
Area bounded by the region R-={(x,y):y...

Area bounded by the region
`R-={(x,y):y^(2)lexle|y|}` is

A

`4/3`

B

`3/4`

C

`1/3`

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
C

Area `=S=2int-(0)^(1)(sqrt(x)-x)dx=1/3`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The area of the region bounded by the curves {(x,y) : x^(2) + y^(2) le 4 , 2 le x + y } is __________ .

The area of the region bounded by the curve y = x^(2) and y = |x| is equal to

The area of the region bounded by the curve y = x ^(2) and the line y =16 is :

The area of the region bounded by the curve y=2x-x^(2) and the line y=x is

The area of the plane region bounded by the curve x = y^(2)-2 and the line y = - x is (in sq units)

The area of the region bounded by the curve y = x^(2) and y = x is equal to

The area of the region bounded by the straight lines y=x,y=2x and y=2 ,is

The area of the region lying in the first quadrant and bounded by the curve y = 4x ^(2), and the lines y =2 and y =4 is "___________"

RESONANCE-TEST PAPERS-MATHEMATICS
  1. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

    Text Solution

    |

  2. Let f(x)=lim(nrarroo)1/((3/(pi)tan^(-1)2x)^(2n)+5) then the set of val...

    Text Solution

    |

  3. Area bounded by the region R-={(x,y):y^(2)lexle|y|} is

    Text Solution

    |

  4. The range of the function, f(x)= (1+sec^-1x) (1 + cos^-1 x) is

    Text Solution

    |

  5. If a, b, c are distinct odd integers and omega is non real cube root o...

    Text Solution

    |

  6. Consider the following equation in x and y: (x-2y-1)^2 + (4x+3y-4)^2 +...

    Text Solution

    |

  7. If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx, then find the value of lim(n...

    Text Solution

    |

  8. ~(~p to q) is equivalent to

    Text Solution

    |

  9. The median of a set of 9 distinct observations is 20.5. If each of the...

    Text Solution

    |

  10. In DeltaABC, if AB=5cm, BC=13cm and CA=12cm, then the distance to vert...

    Text Solution

    |

  11. A relation R is defined on the set of circles such that "C(1)RC(2)impl...

    Text Solution

    |

  12. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  13. If f(x) is a differentiable function satisfying f^(')(x)lt2 for all xe...

    Text Solution

    |

  14. If A(1,p^(2)),B(0,1) and C(p,0) are the coordinates of three points th...

    Text Solution

    |

  15. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

    Text Solution

    |

  16. For a certain curve y=f(x) satisfying (d^(2)y)/(dx^(2))=6x-4,f(x) has ...

    Text Solution

    |

  17. If alpha,betagamma are the roots of the equation x^3+px^2+qx+r=0, then...

    Text Solution

    |

  18. In the expansion of (x+y+z)^(20), which of the followign is False?

    Text Solution

    |

  19. Statement 1: The range of f(x)=sin^(2)x-sinx+1 is [3/4,oo). Statemen...

    Text Solution

    |

  20. The function f(x)={ 1-2x+3x^2-4x^3; x!=-1, 1; x=-1} discuss the co...

    Text Solution

    |