Home
Class 12
MATHS
The area of the figure bounded by the cu...

The area of the figure bounded by the curves y=cosx and y=sinx and the coordinates x=0 and x=`pi//4` is

A

`sqrt2-1`

B

`sqrt2+1`

C

`1/sqrt2(sqrt2-1)`

D

`1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curves y=cos x and y=sin x between the ordinates x=0 and x=3/2pi is :

The area bounded by the curves y = cos x y = sin x between the ordinates x =0 and x=3/2 pi is

The area of the figure bounded by the curves y=e^x , y=e^(-x) , and st. line x=1 is :

The area bounded by the curve y=e^x , y=e^(-x) and the ordinates x=0 and x=2 is :

The area bounded by the curves y = x^(3) and y=x^(2) and the ordinates x=1, x=2 is

The area of the region bounded by the curves : y=|x-1| and y=3-|x| is :

The area of the region bounded by the curve y=sin x between the ordinates x=0, x=pi/2 and the x-axis is :

The area of the region bounded by the curve y=2x-x^2 and the line y=x is

The area bounded by the curve y= x|x| , x-axis and the ordinates x =-1 and x=1 is

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. Area under the curve y= sin 2x + cos 2x between the ordinates x=0 and ...

    Text Solution

    |

  2. The area enclosed by the curve y=sin^(3)x between x=0 and x=pi/2

    Text Solution

    |

  3. The area of the figure bounded by the curves y=cosx and y=sinx and the...

    Text Solution

    |

  4. The area bounded by the parabola y^(2) = 4x and x^2 = 4y is

    Text Solution

    |

  5. Area of the region bounded by y^(2) = 8x and the latus rectum is

    Text Solution

    |

  6. Area bounded by the barabola y^(2) = 8x and the line y=3x is

    Text Solution

    |

  7. Area bounded by y=x^(2) and y=2x is

    Text Solution

    |

  8. The are bounded by the parabola y^(2)=4ax and the line x = a and x = 4...

    Text Solution

    |

  9. Area bounded by y=3x and y=x^(2) is

    Text Solution

    |

  10. Find the area of the smaller region enclosed by the circle x^(2)+y^(2)...

    Text Solution

    |

  11. Area of the region bounded by x^(2)/16+y^(2)/9 =1 and the line x/4+y/3...

    Text Solution

    |

  12. Area of the ellipse x^(2)/9+y^(2)/4=1 is

    Text Solution

    |

  13. Area bounded by xy = a^(2), the axis and the lines x=a and x=4a(a gt 0...

    Text Solution

    |

  14. The area bounded by xy =1, x =0, y=1 and y=2 is

    Text Solution

    |

  15. Find the area of the circle x^(2) + y^(2) = 4 bounded by the lines x =...

    Text Solution

    |

  16. Area of the region bounded by the curve y^(2) = 4x, y-axis and the lin...

    Text Solution

    |

  17. Using the method of integration, find the smaller area enclosed by the...

    Text Solution

    |

  18. Area lying between the curves y^(2) = 4x and y = 2x is

    Text Solution

    |

  19. The area bounded by the curve y= x|x|, x-axis and the ordinates x =-1 ...

    Text Solution

    |

  20. Area bounded by the curve y=x^3 , the x-axis and the ordinates x=-2 an...

    Text Solution

    |