Conic Sections Question 59
Question: The equation of a tangent to the parabola $ y^{2}=4ax $ making an angle $ \theta $ with x-axis is
Options:
A) $ y=x\cot \theta +a\tan \theta $
B) $ x=y\tan \theta +a\cot \theta $
C) $ y=x\tan \theta +a\cot \theta $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ m=\tan \theta $ . The tangent to $ y^{2}=4ax $ is $ y=x\tan \theta +c $
Hence $ c=\frac{a}{\tan \theta }=a\cot \theta $
The equation of tangent is $ y=x\tan \theta +a\cot \theta $ .
BETA
