Home
Class 12
MATHS
If f(x) = cos [pi ^(2)] x+cos [-pi^(2)]x...

If `f(x) = cos [pi ^(2)] x+cos [-pi^(2)]x,` thenthe value of `f ((pi)/(2))` is-

A

1

B

2

C

`-1`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 4|91 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 10|1 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If f(x)=cos[pi^2]x+cos[-pi^2]x then the value of f(pi/4)+f(pi/2) is

If f(x)=sin3x cos4x , then the value of f''((pi)/(2)) is -

If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest integer function, then the value of f((pi)/(2)) is-

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-

If f(x)= sin""x/2 ,then the value of f''( pi ) is-

If f(x)= cos [ pi^(2)] x+ cos[ -pi^(2)] x where [x] denotes the greatest integer function, then show that f(-pi)=0

If f(x)= cos [ pi^(2)] x+ cos[ -pi^(2)] x where [x] denotes the greatest integer function, then show that f((pi)/(4)) =(1)/(sqrt(2))

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 f(x) = cos[pi^2]x + cos[-pi^2]x , where [x] stands for the greatest integer function, then find f(pi/2),f(pi/4) .

If f(x)={(((1-sin^3x))/(3cos^2x), x lt pi/2), (a, x=pi/2), ((b(1-sinx))/((pi-2x)^2), x gt pi/2):} is continuous at x=pi/2 , then the value of (b/a)^(1/3) is

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 2
  1. If P (A) is the power set of A= {1,3,5,7} then-

    Text Solution

    |

  2. Let A + {-1,0,1,2,3} and f : A to Z be given by f(x) =x^(2) -5x +7, wh...

    Text Solution

    |

  3. Range of the relation R= {x ,1/x}:0lt x lt 5 and x is an integer " is

    Text Solution

    |

  4. Domain of the relation R = {(x,y) : x in NN,. Y in NN and 2x+y=41} is-

    Text Solution

    |

  5. If for all values of x and y , f(x+y) =f(x) f(y) and f(5) =2, f'(0)=3,...

    Text Solution

    |

  6. The domain of definition of the function sin ^(-1) [log (3) ((x)/(3))]...

    Text Solution

    |

  7. The equation of the parabola with vertex at the origin and directix is...

    Text Solution

    |

  8. lim (xto0) (1-cos mx)/(1-cos nx) is equal to-

    Text Solution

    |

  9. The period of the function f(x) = sin 2x is-

    Text Solution

    |

  10. If the function f(x)={{:((x ^(2) -9)/(x-3), "when" x ne3),(2x+a, "whe...

    Text Solution

    |

  11. If 3f(x) +2f (-x) =5 (x-2) then the value fo f(1) is-

    Text Solution

    |

  12. lim (xto0) (a ^(x) -b^(x))/(e ^(x)-1)

    Text Solution

    |

  13. The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

    Text Solution

    |

  14. If f (x-2) =2x ^(2) +3x -5, then the value of f(2) is-

    Text Solution

    |

  15. If f(x) = cos [pi ^(2)] x+cos [-pi^(2)]x, thenthe value of f ((pi)/(2)...

    Text Solution

    |

  16. The value of lim (xto(pi)/(2))tan^(2) x (sqrt( 2 sin ^(2) x+3 sin x+4...

    Text Solution

    |

  17. If f (x+y, x-y)=xy, then the arithmetic mean of f (x,y) and f(y,x) is-

    Text Solution

    |

  18. The range of f (x) =cos ""x/3 is-

    Text Solution

    |

  19. The differential coefficient of the function f (x) =|x-1| + |x-3| at ...

    Text Solution

    |

  20. If f (x) = tan ^(-1) ((cos x- sinx)/(cos x+ sin x)) then the value of ...

    Text Solution

    |