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Let f(x)={(-1+sinK1pix, x is rational),...

Let `f(x)={(-1+sinK_1pix, x is rational), (1+cosK_2pix, x is irrational) :}` If f(x) is periodic function, then:

A

either `K_1, K_2in rational or K_1, K_2 in irrational`

B

`K_1, K_2 in` rational only

C

`K_1 and K_2 in ` irrational only

D

`K_1 and K_2 in` irrational such `K_1/K_2` is rational.

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The correct Answer is:
B
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