Home
Class 12
MATHS
Let f(x)=min (x+1,sqrt(1-x)) for all xlt...

Let `f(x)=min (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

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos
  • APPLICATIONS OF DERIVATIVES

    CENGAGE ENGLISH|Exercise Comprehension Type|5 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve y=4x-x^2 and x-axis is (A) 30/7 sq. units (B) 31/7 sq. units (C) 32/3 sq. units (D) 34/3 sq. units

The area of the region bounded by the curves y=|x-1| and y=3-|x| is (A) 6 sq. units (B) 2 sq. units (C) 3 sq. units (D) 4 sq. units

The area bounded by the curve y=log_ex , the x-axis and the line x=e is (A) e sq. units (B) 1 sq. unit (C) (1-1/e) sq. units (D) (1+1/e) sq. units

The area bounded by the curve y=log_ex , the x-axis and the line x=e is (A) e sq. units (B) 1 sq. unit (C) (1-1/e) sq. units (D) (1+1/e) sq. units

The area bounded by the curves y=log_e x and y=(log_e x)^2 is (A) e-2 sq. units (B) 3-e sq. units (C) e sq. units (D) e-1 sq. units

The area enclosed by 2|x|+3|y|lt=6 is (a)3 sq. units (b) 4 sq. units (c)12 sq. units (d) 24 sq. units

If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)=f(2pi-x),AAx in (pi,2pi], then the area enclosed by y=f(x) and the x-axis is (a) pi sq dot units (b) 2pi sq dot units (c) 2 sq dot units (d) 4 sq dot units

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

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

CENGAGE ENGLISH-APPLICATION OF INTEGRALS-All Questions
  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)=min (x+1,sqrt(1-x)) for all xlt=1. Then the area bounded by y...

    Text Solution

    |

  4. The area enclosed by 2|x|+3|y|lt=6 is 3 sq. units (b) 4 sq. units 1...

    Text Solution

    |

  5. If An is the area bounded by y=x and y=x^n ,n in \mathbb{N} ,then A2 A...

    Text Solution

    |

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

    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 and 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. In the hexaploid wheat, the haploid (n) and basic (x) numbers of ch...

    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. A copper rod of mass m rests on two horizontal rails distance L apart ...

    Text Solution

    |

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

    Text Solution

    |

  15. A particle moves along x-axis such that its position veries with time ...

    Text Solution

    |

  16. Masses M(1), M(2) and M(3) are connected by strings of negligible mass...

    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 bound...

    Text Solution

    |