Home
Class 12
MATHS
Let f(x) be and even function in R. If f...

Let f(x) be and even function in R. If f(x) is monotonically increasing in [2, 6], then

A

`f3 gt f(-5)`

B

`f -2 lt f2`

C

`f(-2) gt fe2`

D

`f(-3) lt f(5)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHMATICS 2012

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|50 Videos
  • IPU QUESTION PAPER 2016

    IPUCET PREVIOUS YEAR PAPERS|Exercise Mathematics|49 Videos

Similar Questions

Explore conceptually related problems

If f(x)= kx-sin x is monotonically increasing then

Function f(x) = log sin x is monotonic increasing when

The function f(x)= (x^(2))/(e^(x)) monotonically increasing if

The function f(x)=cos x -2 px is monotonically decreasing for

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

Function f(x) = sin x – cos x is monotonic increasing when -

f(x)=x+(1)/(x),x!=0 is monotonic increasing when

If the function f(x) = x^(2) -kx is monotonically increasing the interval (1, oo) , then which one of the following is correct ?

Function f(x)=x^(3)-27x+5 is monotonically increasing when (a) x 3(c)x =3

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHMATICS 2013-MCQs
  1. If f:(3,4)rarr (0,1) defined by f(x)=x-[x] where [x] denotes the great...

    Text Solution

    |

  2. If f(x) = cos^(-1)[( x - x^(-1))/(x + x^(-1))] then f'( -2) is

    Text Solution

    |

  3. Let f(x) be and even function in R. If f(x) is monotonically increasin...

    Text Solution

    |

  4. If f(x+2) = 1/2{f(x + 1)+ (4)/(f(x))} and f(x gt 0, for all x in R,the...

    Text Solution

    |

  5. int (3 + 2 cos x)/(2 + 3 cos x)^(2). dx is equal to

    Text Solution

    |

  6. Differential equation of the family of circles touching the line y=...

    Text Solution

    |

  7. lf a, b, c are non-zero real numbers and the equation ax^2+bx+c+i=0 h...

    Text Solution

    |

  8. If vec a , vec b ,a n d vec c are three mutually orthogonal unit v...

    Text Solution

    |

  9. y^(2) = 4x is a curve and P, Q and r are three points on it, where P =...

    Text Solution

    |

  10. A batsman can score 0, 1, 2, 3, 4 or 6 runs from a ball. The number of...

    Text Solution

    |

  11. The number of solutions for the equation 2 sin^(-1)(sqrt(x^(2) - x + 1...

    Text Solution

    |

  12. The number of solutions of the equation int(-2)^(x) "cos x "dx = 0, 0 ...

    Text Solution

    |

  13. A person standing on the bank of a river observes that the angle subte...

    Text Solution

    |

  14. Two circles x^(2) + y^(2) -2kx = 0 and x^(2) + y^(2) - 4x + 8y + 16 = ...

    Text Solution

    |

  15. If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a ...

    Text Solution

    |

  16. The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the fir...

    Text Solution

    |

  17. The slope of the tangent to the curve tan y = ((sqrt(1 + x)) - (sqrt(1...

    Text Solution

    |

  18. The value of int(0)^(pi/4)(sec x)/(secx + tan x)^(2).dx is

    Text Solution

    |

  19. lim(x->0){(1+x)^(2/x)} (where {x} denotes the fractional part of x) is...

    Text Solution

    |

  20. int(1)/(x^(2)(x^(4)+1)^(3//4))dx=

    Text Solution

    |