A) \[-\frac{\pi }{p+q}\]
B) \[\frac{2\pi }{p+q}\]
C) \[\frac{\pi }{2(p+q)}\]
D) \[\frac{1}{p+q}\]
E) \[\frac{1}{2(p+q)}\]
Correct Answer: B
Solution :
The given equation can be rewritten as \[\cos p\theta =\cos (\pi -q\theta )\] \[\Rightarrow \] \[p\theta =2n\pi \pm (\pi -q\theta )\] Taking\[+\]sign \[(p+q)\theta =(2n+1)\pi \] \[\Rightarrow \] \[\theta =\frac{(2n+1)\pi }{(p+q)}\] Thus, the solution are in AP with common difference\[\left( \frac{2\pi }{p+q} \right)\].You need to login to perform this action.
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