Home
Class 12
MATHS
Consider the functions: f(x)=|x|-1 and g...

Consider the functions: `f(x)=|x|-1` and `g(x)=1-|x|`. Find the area of their shaded region.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    BODY BOOKS PUBLICATION|Exercise EXERCISE|139 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|148 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)=abs(x)-1,g(x)=1-abs(x) Find the area of the shaded region

Consider the functions f(x)=sinx and g(x)=x^3 Find fog(x)

Consider the function f(x)=(x+1)^3(x-3)^3 Find f'(x).

Consider the ellipse x^2/9+y^2/4=1 and the line x/3+y/2=1 find the area of the shaded region ?

Consider the functions f(x) = sin x and g(x) = cos x in the interval [0,2 pi] find the area enclosed by these curves in the given interval ?

Consider the functions f(x)=sinx and g(x)=cosx in the interval [0,2pi] Find the x coordinates of the meeting points of the functions.

Consider the function f(x) = (x^2 - 4)/(x - 2) Find the domain and range of f .

Consider the functions f(x) = sin x and g(x) = cos x in the interval [0,2 pi] draw the rough sketch of the above function ?

Consider the functions f(x)=sqrt(x-2) , g(x)=(x+1)/(x^2-2x+1) Find (fg)(x)

Consider the function f(x)=abs(x)-1,g(x)=1-abs(x) sketch the graph and shade the enclosed region between them

BODY BOOKS PUBLICATION-APPLICATION OF INTEGRALS-EXERCISE
  1. Make a rough sketch of the curves y=x^2 and y=|x|.

    Text Solution

    |

  2. The co-ordinates of the vertices of triangleABC are A(2,0), B(4,5) and...

    Text Solution

    |

  3. The co-ordinates of the vertices of triangleABC are A(2,0), B(4,5) and...

    Text Solution

    |

  4. The area bounded by the curve y=f(x), x-axis and the line x=a and x=b ...

    Text Solution

    |

  5. Area bounded by the curve y=f(x),x axis and the linesx=a and x=b is

    Text Solution

    |

  6. Find the area bounded by the curve y= sin x with x-axis, between x=0 a...

    Text Solution

    |

  7. Find the area of the region bounded by the curve y^2=x x-axis and ...

    Text Solution

    |

  8. Area bounded by the curves y=cosx ,x=pi/2, x=0, y=0 is

    Text Solution

    |

  9. Find the area of the region bounded by the y^2=4ax and x^2=4ay, a>0

    Text Solution

    |

  10. The area bounded by the curve above the x-axis, between x = a and x = ...

    Text Solution

    |

  11. Find the area of the circle x^2+y^2=4 using integration

    Text Solution

    |

  12. Consider the function f(x)=abs(x)+1,g(x)=1-abs(x) sketch the graph...

    Text Solution

    |

  13. Consider the functions: f(x)=|x|-1 and g(x)=1-|x|. Find the area of th...

    Text Solution

    |

  14. Find the point at which the circle x^2+y^2=32 intersects the positive ...

    Text Solution

    |

  15. Shade the region in the first quadrant enclosed by x-axis, the line y=...

    Text Solution

    |

  16. Find the area bounded by the curve y= sin x with x-axis, between x=0 a...

    Text Solution

    |

  17. Find the area of the region bounded by the ellipse x^2/4 + y^2/9 =1.

    Text Solution

    |

  18. Choose the correct answer. Area lying between the curves y^2=4x and y=...

    Text Solution

    |

  19. Find the area between the curves y=x and y=x^2.

    Text Solution

    |

  20. Choose the correct answer. Area bounded by the curvey=x^3,The x-axis a...

    Text Solution

    |