Home
Class 12
MATHS
The function f(x) = ax + b is strictly i...

The function f(x) = ax + b is strictly increasing for all real x if

A

`a gt 0`

B

`a lt 0`

C

`a =0`

D

`a le 0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2010

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos

  • QUESTION PAPER 2012

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

Similar Questions

Explore conceptually related problems

If f(x)=mu x-sin x is strictly increasing then

If the function f(x)=(a sin x+2 cos x)/(sin x + cos x) is strictly increasing for all values of x, then a gt k , find k.

Prove that the function f(x)=x^(3)-6x^(2)+12 x-18 is increasing for all x in RR .

The function f(x)=(sinx+cosx) is an increasing function in

Show that the function f(x)=(3x+5)/(x+2) is strictly monotonic increasing in [0, oo) .

Prove that the function f given by f(x) = x ^(2) – x + 1 is neither strictly increasing nor decreasing on (– 1, 1).

If the function f(x)=(Ksinx+2cosx)/(sinx+cosx) is strictly increasing for all values of x , then (a) K (b) K >1 (c) K (d) K >2

Find the intervals in which the functions are strictly increasing or decreasing: x^(2) +2x-5

Find the intervals in which the functions are strictly increasing or decreasing: (x+1)^(3) (x-3)^(3)

Find the condition so that the function f(x)=x^(3)+ax^(2)+bx+c is an increasing function for all real values of x.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. The degree and order of the differential equation y =x((dy)/(dx))^(2...

    Text Solution

    |

  2. f(x) ={{:(0, x=0),(x-3, x gt 0):} The function f(x) is:

    Text Solution

    |

  3. The function f(x) = ax + b is strictly increasing for all real x if

    Text Solution

    |

  4. int(cos 2x)/(cos x) dx=

    Text Solution

    |

  5. int (sin^(8)x - cos^(8)x)/(1-2sin^(2)x cos^(2)x) dx.

    Text Solution

    |

  6. The general solution of the differential equation log(e) ((dy)/(dx)) =...

    Text Solution

    |

  7. If y=A/x + Bx^(2), then x^(2) (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  8. If one of the cube roots of 1 be omega, then |{:(1, 1+omega^(2), ome...

    Text Solution

    |

  9. 4 boys and 2 girls occupy seats in a row at random. Then the probabili...

    Text Solution

    |

  10. A coin is tossed again and again. If tail appears on first three tosse...

    Text Solution

    |

  11. The coefficient of x^(n) in the expansion of (e^(7x) + e^(x))/e^(3x) i...

    Text Solution

    |

  12. The sum of the series: 1/(1.2) -1/(2.3) +1/(3.4)-1/(4.5)………. infty i...

    Text Solution

    |

  13. The number (101)^(100)-1 is divisible by:

    Text Solution

    |

  14. If A and B are coefficients of x^(n) in the expansions of (1+x)^(2n) ...

    Text Solution

    |

  15. If n gt 1 is an integer and x ne 0 , then (1+x)^(n)-nx-1 is divisible...

    Text Solution

    |

  16. If ""^(n)C(4), ""^(n)C(5) and "'^(n)C(6) are in A.P., then n is:

    Text Solution

    |

  17. The number of diagonals in a polygon is 20. The number of sides of the...

    Text Solution

    |

  18. ""^(15)C(3) + ""^(15)C(5) + ……… +""^(15)C(15) =

    Text Solution

    |

  19. Let a, b, c be three real numbers such that a + 2b + 4c = 0. Then the ...

    Text Solution

    |

  20. If the ratio of the roots of the equation px^(2) + qx + r=0 is a:b, th...

    Text Solution

    |