Sequence And Series Question 101
Question: If $ \tan ,n\theta =\tan m\theta $ , then the different values of will be in
[Karnataka CET 1998]
Options:
A) A.P.
B) G.P.
C) H.P.
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
We have $ \tan n\theta =\tan m\theta $
$ \Rightarrow $ $ n\theta =N\pi +(m\theta ) $
$ \Rightarrow $ $ \theta =\frac{N\pi }{n-m} $ , putting $ N=1,\ 2,\ 3………, $ we get $ \frac{\pi }{n-m},\ \frac{2\pi }{n-m},\ \frac{3\pi }{n-m}……… $ which are obviously in A.P. Since common difference $ d=\frac{\pi }{n-m} $ .
BETA
