Conic Sections Question 416
Question: The locus of the point of intersection of the lines $ ax\sec \theta +by\tan \theta =a $ and $ ax\tan \theta +by\sec \theta =b $ , where $ \theta $ is the parameter, is
Options:
A) A straight line
B) A circle
C) An ellipse
D) A hyperbola
Show Answer
Answer:
Correct Answer: D
Solution:
Squaring and subtracting, we get $ a^{2}x^{2}-b^{2}y^{2}=a^{2}-b^{2} $ , which is the equation of hyperbola.
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