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 $