| If the distance of the point \[P(x,y)\]from \[A(a,0)\] is \[a+x,\]then \[{{y}^{2}}\]is equal to |
A) \[2ax\]
B) \[4ax\]
C) \[6ax\]
D) \[8ax\]
Correct Answer: B
Solution :
| \[A+C=B\]or \[\tan (A+C)=\tan B\] |
| \[\Rightarrow \] \[\frac{\tan A+\tan C}{1-\tan A\tan C}=\tan B\] |
| \[\Rightarrow \] \[\tan A+\tan C=\tan B-\tan A\tan B\tan C\] |
| \[\Rightarrow \] \[\tan A\tan B\tan C=\tan B-\tan A-\tan C\] |
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