Home
Class 12
MATHS
Let f(x) be a non-negative continuous fu...

Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f(x), x-axis and the ordinates `x=pi/4` and `x=beta gt pi/4` is :
`(beta sin beta + pi/4 cos beta +sqrt2beta)` .
Then `f(pi/2)` is :

A

`(pi/2-sqrt2+1)`

B

`(pi/4 + sqrt2-1)`

C

`(1-pi/4 + sqrt2)`

D

`(1-pi/4 -sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/ JEE Examinations|10 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve y= sin((x)/(3)), x -axis and lines x=0 and x = 3pi is

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

Area bounded by the curve y=x sin x and x -axis between x=0 and x=2 pi is :

Area under the curve y= sin 2x + cos 2x between the ordinates x=0 and x=pi/4 is

If the normal to the curve y = f(x) at the point (3, 4) makes an angle 3pi//4 with the positive x-axis, then f'(3) is :

MODERN PUBLICATION-AREA UNDER CURVES -MULTIPLE CHOICE QUESTIONS (LEVEL - II)
  1. Area enclosed by y=1 and pm 2x+y=2 (in square units) is :

    Text Solution

    |

  2. The area of the region bounded by y=|x-1| and y=1 is

    Text Solution

    |

  3. Area common to the circle x^2+y^2=64 and the parabola y^2=12x is :

    Text Solution

    |

  4. The area enclosed between the curves y = x^(3) and y=sqrtx is, (in squ...

    Text Solution

    |

  5. One value of k for which the area of the figure bounded by the curve y...

    Text Solution

    |

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

    Text Solution

    |

  7. The area of the figure bounded by the parabola (y-2)^2 =x-1 , the tang...

    Text Solution

    |

  8. The triangle formed by the tangent to the curve f(x)=x^2+bx-b at the p...

    Text Solution

    |

  9. The area bounded by the curves : y=|x|-1 and y=-|x|+1 is :

    Text Solution

    |

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

    Text Solution

    |

  11. Area bounded by the curves : y=sqrtx, x=2y+3 in the first quadrant and...

    Text Solution

    |

  12. The area of the region bounded by the curves : y=|x-2|, x=1,x=3 and t...

    Text Solution

    |

  13. Area enclosed between curves : y=ax^2 and x=ay^2 (a > 0) is 1 sq. unit...

    Text Solution

    |

  14. The area enclosed between the curves : y^2=x and y=|x| is :

    Text Solution

    |

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

    Text Solution

    |

  16. The parabolas y^2=4x and x^2=4y divide the square region bounded by th...

    Text Solution

    |

  17. Find the area bounded the curves : y=(x-1)^2, y=(x+1)^2 and y=1/4

    Text Solution

    |

  18. The area of the plane region bounded by the curves x+2y^2=0 and x+3y^2...

    Text Solution

    |

  19. The area of the region between the curves : y=sqrt((1+sinx)/(cosx)) an...

    Text Solution

    |

  20. The area of the region bounded by the parabola (y-2)^2=x -1 , the tan...

    Text Solution

    |