Home
Class 12
MATHS
The area bounded by the curves y=|x|-1a ...

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

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise All Questions|674 Videos

  • APPLICATIONS OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise Subjective Type|2 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curves y=x(x-3)^2a n dy=x is________ (in 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 12 sq. units (d) 24 sq. units

The area (in square unit ) bounded by the curves y= |x| - 1 and y= -|x| +1 is-

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

The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1st quadrant is (A) 18 sq. units (B) (27)/4 sq.units (C) 4/3 sq.units (D) 9 sq. units

The area between the curve y=2x^4-x^2, the axis, and the ordinates of the two minima of the curve is 11/60 sq. units (b) 7/120 sq. units 1/30 sq. units (d) 7/90 sq. units

The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^2 and the line y=1/4 is (a)4 sq. units (b) 1/6 sq. units 4/3 sq. units (d) 1/3 sq. units

The area of the closed figure bounded by x=-1,y=0,y=x^2+x+1, and the tangent to the curve y=x^2+x+1 at A(1,3) is (a) 4/3 sq. units (b) 7/3 sq. units (c) 7/6 sq. units (d) none of these

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

CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. If [(4a^2,4a, 1),(4b^2, 4b,1), (4c^2, 4c, 1)] [(f(-1)),(f(1)),(f(2))] ...

    Text Solution

    |

  2. If f(x) is a function such that f'(x)=(x-1)^2 (4-x), then

    Text Solution

    |

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

    Text Solution

    |

  4. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

    Text Solution

    |

  5. The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^...

    Text Solution

    |

  6. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

    Text Solution

    |

  7. Find the area bounded by y=tan^(-1)x , y=cot^(-1)x ,and y-axis in the...

    Text Solution

    |

  8. the equation to the director circle of (x^2)/6+(y^2)/4=1 is

    Text Solution

    |

  9. Find the area bounded by y=loge x , y=-loge x ,y=loge(-x),a n dy=-loge...

    Text Solution

    |

  10. The area of region for which 0 lt y lt 3 - 2x-x^2 and x gt 0 is

    Text Solution

    |

  11. The area common to regions x^2+y^2-2xlt=0 and ygeq sin (pix/2)

    Text Solution

    |

  12. Draw the rough sketch of the curve y=x^(4)-x^(2).

    Text Solution

    |

  13. f(x) is a continuous and bijective function on Rdot If AAt in R , the...

    Text Solution

    |

  14. Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) su...

    Text Solution

    |

  15. Find the area bounded by the curves y=-x^2+6x-5,y=-x^2+4x-3, and the s...

    Text Solution

    |

  16. Find the value of a where (a >2) for which the reciprocal of the area ...

    Text Solution

    |

  17. if A1,A2,A3,....A100 are set of A1 sub A2 sub A3 sub A4.....sub A100 n...

    Text Solution

    |

  18. Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by t...

    Text Solution

    |

  19. Each question has four choices a,b,c and d, out of which only one i...

    Text Solution

    |

  20. If A1,A2, A3,..are sets such that n(Ai)=101-i, A1 sup A2 sup A3 sup .....

    Text Solution

    |