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If f(x)=cosx+cosa x is periodic functio...

If `f(x)=cosx+cosa x` is periodic function, then a must be (a)an integer (b) a rational number (c)an irrational number (d) an even number

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Knowledge Check

  • If x be a rational number and y be an irrational number, then :

    A
    both `x + y` and `xy` are necessarily irrational
    B
    both `x + y` and `xy` are necessarily rational
    C
    `xy` is necessarily irrational, but x + y can be either rational or irrational
    D
    `x + y` necessarity irrational , but xy can be either rational or irrational
  • If x is a rational number and y is an irrational number, then

    A
    Both x + y and xy are necessarily irrational.
    B
    Both x + y and xy are necessarily rational.
    C
    xy is necessarily irrational, but x + y can be either rational or irrational.
    D
    x+y is necessarily irrational, but xy can be either rational or irrational.
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