Home
Class 12
MATHS
The area bounded by y=sec^-1 x,y=cosec^-...

The area bounded by `y=sec^-1 x,y=cosec^-1x,` and line `x-1=0` is (a) `log(3+2sqrt2)-pi/2` sq. units (b) `pi/2-log(3+2sqrt2)` sq. units (c) `pi-(log)_e 3` sq. units (d) non of these

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 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

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 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 inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+9=0 is (a) 12sqrt(3) sq units (b) 6sqrt(3) sq units (c) 8sqrt(3) sq units (d) 4sqrt(3) 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 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 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 curve y= sec x, the x-axis and the lines x=0 and x=(pi)/(4) 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 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

CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. Plot the region in the first quadrant in which points are nearer to th...

    Text Solution

    |

  2. Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi...

    Text Solution

    |

  3. Find the area of the region bounded by the limits x=0,x=pi/2,a n df(x)...

    Text Solution

    |

  4. The area bounded by y=sec^-1 x,y=cosec^-1x, and line x-1=0 is (a) log(...

    Text Solution

    |

  5. The area of the region whose boundaries are defined by the curves y=2c...

    Text Solution

    |

  6. Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s ...

    Text Solution

    |

  7. The area of the closed figure bounded by x=-1,y=0,y=x^2+x+1, and the t...

    Text Solution

    |

  8. The area of the closed figure bounded by y=(x^2)/2-2x+2 and the tangen...

    Text Solution

    |

  9. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

    Text Solution

    |

  10. The area between the curve y=2x^4-x^2, the axis, and the ordinates of ...

    Text Solution

    |

  11. The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s...

    Text Solution

    |

  12. Find the area bounded by the curve x^(2) = 4y and the line x = 4y - 2.

    Text Solution

    |

  13. If S is the sum of cubes of possible value of c for which the area of ...

    Text Solution

    |

  14. The area of the smaller region bounded by circle x^2+y^2=1 and |y|=x+1...

    Text Solution

    |

  15. int(e^(2x)-1)/(e^(2x)+1)dx is equal to -

    Text Solution

    |

  16. Sketch the region bounded by the curves y=sqrt(5-x^2) and y=|x-1| and ...

    Text Solution

    |

  17. Find the area of the region bounded by the x-axis and the curves def...

    Text Solution

    |

  18. Find the area bounded by the x-axis, part of the curve y=(1+8/(x^2)) ...

    Text Solution

    |

  19. Given A=[(5, 0, 4),( 2, 3, 2),( 1, 2, 1)] , B^(-1)=[(1, 3, 3),( 1, 4, ...

    Text Solution

    |

  20. Find the area bounded by the curves x^2+y^2=25 ,4y=|4-x^2|, and x=0 ab...

    Text Solution

    |