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Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)c...

Let `f(x)=cos(a_1+x)+1/2cos(a_2+x)+1/(2^2)cos(a_1+x)++1/(2^(n-1))cos(a_n+x)` where `a)1,a_2 a_n in Rdot` If `f(x_1)=f(x_2)=0,t h e n|x_2-x_1|` may be equal to `pi` (b) `2pi` (c) `3pi` (d) `pi/2`

A

`pi`

B

`2pi`

C

`3pi `

D

`(pi)/(2)`

Text Solution

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The correct Answer is:
A, B, C
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