Home
Class 12
MATHS
Let f(x)=sin x + 2 cos^(2)x, (pi)/(4)le ...

Let `f(x)=sin x + 2 cos^(2)x, (pi)/(4)le x le (3pi)/(4)`. Then f attains its

A

minimum at `x=(pi)/(4)`

B

maximum at `x=(pi)/(2)`

C

minimum at `x=(pi)/(2)`

D

maximum at `x=sin^(-1)((1)/(4))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=sinx+2cos^(2)x,(pi)/(4)lexle(3pi)/(4) . Then f attains its-

Let f(x)=sinx+2cos^2x,pi/4lexle(3pi)/4 . then f attains its

cos9x cos7x = cos5x cos3x [-pi/4 le x le pi/4]

Let f(x)=sin^(4)x-cos^(4)x int_(0)^((pi)/(2))f(x)dx =

Let f(x) = |x|+|sin x|, x in (-pi/2, (3pi)/2) . Then, f is :

cos ((3pi)/( 4) + x) - cos((3pi)/( 4) -x) =- sqrt2 sin x

Solve the equation sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin^(-1)|cos x | -cos^(-1)| sin x|, (-pi)/(2) le x le (pi)/(2)

Show that the function f(x) =sin^(4)x+cos^(4)x is increasing in (pi)/(4) lt x lt (3pi)/(8) .

cos^(2)x(dy)/(dx) + y = tan x (o le x le (pi)/(2))

Verify the truth of Rolle's theorem for the functions: f(x)=cos^(2)x" in " -(pi)/(4) le x le (pi)/(4)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. The value of the integral int(1)^(2)e^(-x)(log(e )x+(x+1)/(x))dx is

    Text Solution

    |

  2. Let P=1+(1)/(2xx2)+(1)/(3xx2^(2))+ …………. and Q=(1)/(1xx2)+(1)/(3xx4...

    Text Solution

    |

  3. Let f(x)=sin x + 2 cos^(2)x, (pi)/(4)le x le (3pi)/(4). Then f attains...

    Text Solution

    |

  4. Each of a and b can take value 1 or 2 with probability. The probabilit...

    Text Solution

    |

  5. There are two coins, one unbiased with probability (1)/(2) of getting ...

    Text Solution

    |

  6. For the variable t, the locus of the points of intersection of lines 3...

    Text Solution

    |

  7. Cards are drawn one - by - one without replacement from a well shuffle...

    Text Solution

    |

  8. Lines x+y=1 and 3y=x+3 intersect the ellipse x^(2)+9y^(2)=9 at the poi...

    Text Solution

    |

  9. The number of onto functions from the set {1, 2, ……….,11} to the set {...

    Text Solution

    |

  10. The limit of [(1)/(x^(2))+((2013)^(x))/(e^(x)-1)-(1)/(e^(x)-1)] as x t...

    Text Solution

    |

  11. Let z(1)=2+3i and z(2)=3+4i be two points on the complex plane. Then t...

    Text Solution

    |

  12. Let p (x) be a quardractic polynomial constant term 1. Suppose p (x) w...

    Text Solution

    |

  13. Eleven apples are distributed among a girl and a boy. Then which one o...

    Text Solution

    |

  14. Five numbers are in H.P. The middle term is 1 and the ratio of the sec...

    Text Solution

    |

  15. The limit of {(1)/(x)sqrt(1+x)-sqrt(1+(1)/(x^(2)))} as x to 0

    Text Solution

    |

  16. The maximum and minimum values of cos^(6)theta+sin^(6)theta are respec...

    Text Solution

    |

  17. If a, b, c are in A.P., then the straight line ax+2by+c=0 will always ...

    Text Solution

    |

  18. If one end of a diameter of the circle 3x^(2)+3y^(2)-9x+6y+5=0 is (1, ...

    Text Solution

    |

  19. The value of cos^(2)75^(@)+cos^(2)45^(@)+cos^(2)15^(@)-cos^(2)30^(@)-c...

    Text Solution

    |

  20. Suppose z=x+iy where x and y are real numbers and i=sqrt(-1). The poin...

    Text Solution

    |