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

Let `f(x)` be 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 ( beta gt (pi)/(4))` is ` beta sin beta + (pi)/(4) cos beta + sqrt(2) beta`. Then the value of `f((pi)/(2))` is-

A

` 1- (pi)/(4) - sqrt(2)`

B

` 1- (pi)/(4) + sqrt(2)`

C

` (pi)/(4) + sqrt(2) -1 `

D

` (pi)/(4) - sqrt(2) +1 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 6|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

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

Find the area of the region bounded by the curve y=cos x , x axis and the ordinates x=0 and x=2pi

Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f(x), the x-axis, and the ordinates x=pi/4a n dx=beta>pi/4i sbetasinbeta+pi/4cosbeta+sqrt(2)betadot Then f(pi/2) is (pi/2-sqrt(2)-1) (b) (pi/4+sqrt(2)-1) -pi/2 (c) (1-pi/4+sqrt(2))

The area bounded by the curve y= cos x ,x-axis and the two ordinates x= -(pi)/(2) ,x=(pi)/(2) ( in square units ) is-

The area (in square unit) bounded by the curve y= sin x, x-axis and the two ordinates x = pi ,x =2pi is-

Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4) , if f(x) is continuous at x=(pi)/(4) , then the value of f((pi)/(4)) is -

If cos alpha + cos beta =cos ""(3pi)/(7)and sin alpha + sin beta = sin ""(3pi)/(7), then the value of cos ^(2)""(alpha-beta)/(2) is-

The area bounded by the graph of y=f(x), f(x) gt0 on [0,a] and x-axis is (a^(2))/(2)+(a)/(2) sin a +(pi)/(2) cos a then find the value of f((pi)/(2)) .

If alpha + beta =(pi)/(2)and beta + gamma =alpha, then the value of tan alpha is -

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 7
  1. From any point P(x, y) of the curve y= x^(m) ( m gt 0 , x gt 0) per...

    Text Solution

    |

  2. The area enclosed between the curve y= log(e)(x+e) and the coordinat...

    Text Solution

    |

  3. Let f(x) be non- negative continuous function such that the area bound...

    Text Solution

    |

  4. If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y ...

    Text Solution

    |

  5. The locus of the point of intersection of a pair of perpendicular tang...

    Text Solution

    |

  6. The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - ...

    Text Solution

    |

  7. If the focal chord of y^(2)=16x is a tangent to the circle (x-6)^(2) +...

    Text Solution

    |

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

    Text Solution

    |

  9. If the normal at the point ( bt(1)^(2), 2 bt(1)) to the parabola y^(2...

    Text Solution

    |

  10. The line y= mx +c touches the hyperbola b^(2) x^(2) - a^(2) y^(2) = a...

    Text Solution

    |

  11. The least value of the sum of any positive real number and its recipro...

    Text Solution

    |

  12. The function f(x)= x^((1)/(x)) is-

    Text Solution

    |

  13. If the chord of contact of tangents from a point on the circle x^(2) +...

    Text Solution

    |

  14. The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a ...

    Text Solution

    |

  15. The length of the rectangle of maximum area that can be inscribed in a...

    Text Solution

    |

  16. If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(...

    Text Solution

    |

  17. The minimum value of 4e^(2x) + 9e^(-2x) is-

    Text Solution

    |

  18. Suppose the function f(x) is defined as follows : f(x)= x(x-1)(x-2)...

    Text Solution

    |

  19. The pressure p and the volume v of a gas are connected by the relation...

    Text Solution

    |

  20. The population of a country doubles in 50 years. Assuming that the rat...

    Text Solution

    |