Home
Class 12
MATHS
Let f(x)="minimum"(x+1,sqrt(1-x)) for al...

Let `f(x)="minimum"(x+1,sqrt(1-x))` for all `xlt=1.` Then the area bounded by `y=f(x)` and the x-axis is

A

`7/3` sq. units

B

`1/6` sq. units

C

`11/6` sq. units

D

`7/6` sq. units

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Solved Examples And Exercises|246 Videos

  • APPLICATIONS OF DERIVATIVES

    CENGAGE|Exercise Question Bank|29 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = minimum (x+1, sqrt(1-x))" for all "x le 1. Then the area bounded by y=f(x) and the x-"axis" is

Let f(x)= minimum (x+1,sqrt(1-x) for all x<=1 then the area bounded by y=f(x) and the x -axis,is

The area bounded by y=x+1 and y=cos x and the x - axis, is

Consider f(x)= minimum (x+2, sqrt(4-x)), AA x le 4 . If the area bounded by y=f(x) and the x - axis is (22)/(k) square units, then the value of k is

Let f(x)=min[tan x,cot x,1sqrt(3)] for all x in(0,(pi)/(2)) Then the area bounded by y=f (x) and the X -axis is

The area bounded by the curve y=x(x^(2)-1) and x-axis is

Let f(x)=min(x+1,sqrt(1-x))AA x le 1 . Then, the area (in sq. units( bounded by y=f(x), y=0 and x=0 from y=0 to x=1 is equal to

Let f(x) = minimum (tan x, cot x, 1//sqrt(3) ) AA x in [0, pi//2] . Then area bounded by y = f(x) and the x-axis is log ((a)/(b)) + (pi)/(c sqrt(d)) , then a + b - c + d = _______

CENGAGE-APPLICATION OF INTEGRALS-Solved Examples And Exercises
  1. Area enclosed by the curve y=f(x) defined parametrically as x=(1-t^2)/...

    Text Solution

    |

  2. Sketch and find the area bounded by the curve sqrt(|x|)+sqrt(|y|)=sqrt...

    Text Solution

    |

  3. Let f(x)="minimum"(x+1,sqrt(1-x)) for all xlt=1. Then the area bounded...

    Text Solution

    |

  4. The area inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+...

    Text Solution

    |

  5. If An is the area bounded by y=xa n dy=x^n ,n in N ,t h e nA2dotA3 An...

    Text Solution

    |

  6. Area enclosed between the curves |y|=1-x^2a n dx^2+y^2=1 is (3pi-8)/3 ...

    Text Solution

    |

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

    Text Solution

    |

  8. The area enclosed between the curves y=(log)e(x+e),x=(log)e(1/y), and ...

    Text Solution

    |

  9. If An be the area bounded by the curve y=(tanx^n) ands the lines x=0,\...

    Text Solution

    |

  10. Find all the possible values of b >0, so that the area of the bounded ...

    Text Solution

    |

  11. Let f(x)=M a xi mu m{x^2,(1-x)^2,2x(1-x)}, where 0lt=xlt=1. Determin...

    Text Solution

    |

  12. Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle....

    Text Solution

    |

  13. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

    Text Solution

    |

  14. The area bounded by the x-axis, the curve y=f(x), and the lines x=1,x=...

    Text Solution

    |

  15. Let f(x) be a non-negative continuous function such that the area boun...

    Text Solution

    |

  16. The area bounded by the curves y=sin^(-1)|sinx|a n dy=(sin^(-1)|sinx|^...

    Text Solution

    |

  17. The area bounded by the two branches of curve (y-x)^2=x^3 and the stra...

    Text Solution

    |

  18. The area bounded by the curves y=loge x and y=(loge x)^2 is (A) ...

    Text Solution

    |

  19. The area of the region containing the points (x , y) satisfying 4lt=x^...

    Text Solution

    |

  20. Let f(x)=x^3+3x+2a n dg(x) be the inverse of it. Then the area boun...

    Text Solution

    |