Home
Class 12
MATHS
If f(x)=x-1 and g(x)=|f|(x)|-2|, then th...

If `f(x)=x-1` and `g(x)=|f|(x)|-2|`, then the area bounded by `y=g(x)` and the curve `x^2=4y+8=0` is equal to

A

`4/3(4sqrt(2)-5)`

B

`4/3(4sqrt(2)-3)`

C

`8/3(4sqrt(2)-3)`

D

`8/3(4sqrt(2)-5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|5 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|20 Videos

  • BIONOMIAL THEOREM

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

Similar Questions

Explore conceptually related problems

The area bounded by the curve 4y^(2)=x^(2) (4-x) (x-2) is equal to :

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 y = |x| is equal to

The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

Area bounded by the curves y=2^(x),y=2x-x^(2),x=0 and x=2 is equal to

Find the area bounded by the curves: y^(2)=4x,y^(2)=x,x=1 and x=4

Find the area bounded by the curve y=4x^(2),x=0,x=1 and y=4 in first quadrant.

Let f(x)=x^(3)+x^(2)+x+1, then the area (in sq. units) bounded by y=f(x), x=0, y=0 and x=1 is equal to

Let f(x) be a real valued function satisfying the relation f((x)/(y))=f(x)-f(y) and lim_(x rarr0)(f(1+x))/(x)=3. The area bounded by the curve y=f(x), y-axis and the line y=3 is equal to

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Single Option Correct Type Questions)
  1. If the area bounded by the corve y=x^(2)+1, y=x and the pair of lines ...

    Text Solution

    |

  2. Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs in...

    Text Solution

    |

  3. Let 'a' be a positive constant number. Consider two curves C1: y=e^x...

    Text Solution

    |

  4. 3 point O(0,0),P(a,a^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2...

    Text Solution

    |

  5. Area enclosed by the graph of the function y= In^2x-1 lying in the 4...

    Text Solution

    |

  6. The area bounded by y = 2-|2-x| and y=3/|x| is

    Text Solution

    |

  7. Suppose g(x)=2x+1 and h(x)=4x^(2)+4x+5 and h(x)=(fog)(x). The area enc...

    Text Solution

    |

  8. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle...

    Text Solution

    |

  9. y=f(x) is a function which satisfies f(0)=0, f"''(x)=f'(x) and f'(0)=1...

    Text Solution

    |

  10. Aea of the region nclosed between the curves x=y^2-1 and x=|y|sqrt(1-y...

    Text Solution

    |

  11. The area bounded by the curve y=xe^(-x);xy=0and x=c where c is the x-c...

    Text Solution

    |

  12. If (a,0), agt 0, is the point where the curve y=sin 2x-sqrt3 sin x cut...

    Text Solution

    |

  13. The curve y=ax^2+bx +c passes through the point (1,2) and its tangent ...

    Text Solution

    |

  14. A function y=f(x) satisfies the differential equation (dy)/(dx)-y= co...

    Text Solution

    |

  15. If the area bounded between X-axis and the graph of y=6x-3x^2 between ...

    Text Solution

    |

  16. Area bounded by y=f^(-1)(x) and tangent and normal drawn to it at poin...

    Text Solution

    |

  17. If f(x)=x-1 and g(x)=|f|(x)|-2|, then the area bounded by y=g(x) and t...

    Text Solution

    |

  18. Let S = {(x,y): (y(3x-1))/(x(3x-2))<0}, S'= {(x,y) in AxxB: -1 leqAleq...

    Text Solution

    |

  19. The area of the region bounded between the curves y=e||x|In|x||,x^2+y...

    Text Solution

    |

  20. A point P lying inside the curve y = sqrt(2ax-x^2) is moving such that...

    Text Solution

    |