Quantitative Aptitude Ques 2431
Question: If the distance of the point $ P(x,y) $ from $ A(a,0) $ is $ a+x, $ then $ y^{2} $ is equal to
Options:
A) $ 2ax $
B) $ 4ax $
C) $ 6ax $
D) $ 8ax $
Show Answer
Answer:
Correct Answer: B
Solution:
- $ A+C=B $ or $ \tan (A+C)=\tan B $
$ \Rightarrow $ $ \frac{\tan A+\tan C}{1-\tan A\tan C}=\tan B $
$ \Rightarrow $ $ \tan A+\tan C=\tan B-\tan A\tan B\tan C $
$ \Rightarrow $ $ \tan A\tan B\tan C=\tan B-\tan A-\tan C $