Home
Class 12
MATHS
Find the area of the region bounded by t...

Find the area of the region bounded by the curves `y=x-1\ a n d\ (y-1)^2=4(x+1)dot`

A

`(5)/(3)`

B

`(10)/(3)`

C

`(11)/(3)`

D

`(64)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curves y=x-1 & (y-1)^2=4(x+1) .

Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)= -x +1 .

The area of the region bounded by the curves y=|x-1|andy=3-|x| is

Find the area of the region bounded by the curves x=2y-y^2 and y=2+x .

Find the area of the region bounded by the curves x=|y^(2)-1| and y=x-5 .

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

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

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

The area of the region bounded by the curve y = |x - 1| and y = 1 is:

Find the area of the region bounded by the curves y=sqrt(x+2) and y=(1)/(x+1) between the lines x=0 and x=2.

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. Find the area bounded by the curves y=-x^2+6x-5,y=-x^2+4x-3, and the s...

    Text Solution

    |

  2. Find the area enclosed by the curves 3x^2+5y=32a n dy=|x-2|dot

    Text Solution

    |

  3. Find the area of the region bounded by the curves y=x-1\ a n d\ (y-1)^...

    Text Solution

    |

  4. Evaluate : int(0)^(pi//2)sin^(8)xdx

    Text Solution

    |

  5. Evaluate : int(0)^(pi//2)sin^(9)x cos^(7)xdx

    Text Solution

    |

  6. Evaluate : int(0)^(pi//2)cos^(9)xdx

    Text Solution

    |

  7. Prove that 4le int(1)^(3) sqrt(3+x^(3)) dx le 2sqrt30.

    Text Solution

    |

  8. Let I(1)=int(0)^(pi//4)e^(x^(2))dx, I(2) = int(0)^(pi//4) e^(x)dx, I(3...

    Text Solution

    |

  9. The value of the definite integral int0^1(x\ dx)/ (x^3+16) lies in the...

    Text Solution

    |

  10. The maximum and minimum values of the integral. int0^(pi//2)dx/(1+sin^...

    Text Solution

    |

  11. Let f(a)>0, and let f(x) be a non-decreasing continuous function in [a...

    Text Solution

    |

  12. The mean value of the function f(x)= 2/(e^x+1) in the interval [0,2] i...

    Text Solution

    |

  13. Suppose f, f' and f'' are continuous on [0, e] and that f'(e )= f(e ) ...

    Text Solution

    |

  14. The value of lim(x to oo)(d)/(dx)int(sqrt(3))^(sqrt(x))(r^(3))/((r+1)...

    Text Solution

    |

  15. If a, b and c are real numbers, then the value of underset(trarr0)(lim...

    Text Solution

    |

  16. Let y = f(x) be a differentiable curve satisfying int(2)^(x)f(t)dt=(x...

    Text Solution

    |

  17. If F(x)=(1)/(x^(2))overset(x)underset(4)int [4t^(2)-2F'(t)]dt then F'(...

    Text Solution

    |

  18. Given f(x) where ={(x|x|,"for" xle -1),([x+1]+[1-x],"for"-1lt x lt...

    Text Solution

    |

  19. If I=underset (0)overset(1) int cos{ 2 "cot"^(-1)sqrt((1-x)/(1+x))}dx ...

    Text Solution

    |

  20. The value of int(-2)^(2)(sin^(2)x)/([(x)/(pi)]+(1)/(2))dx where [.] d...

    Text Solution

    |