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If f(x) = cos|x| - 2ax + b is a function...

If `f(x) = cos|x| - 2ax + b` is a function, which increases for all x, then the maximum value of `2a + 1` is

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Knowledge Check

  • The function f(x)=x^2-2x increases for all

    A
    `x gt -1` only
    B
    `x lt -1` only
    C
    `x gt 1` only
    D
    `x lt` only
  • If the function f(x)=3 cos |x| -6 ax +b increases for all x in R then the range of value of a given by

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    `(-1/2, oo)`
    B
    `(-oo,-1//2)`
    C
    `(-oo,-2)`
    D
    `(-2 ,oo)`
  • The function f(x) = x^4 -62 x^2 + ax + 9 attains its maximum value on the interval [0,2] at x = 1. Then the value of a is

    A
    120
    B
    `-120`
    C
    52
    D
    none of these
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