Conic Sections Question 453
Question: The locus of the point of intersection of lines $ (x+y)t=a $ and $ x-y=at $ , where t is the parameter, is
Options:
A) A circle
B) An ellipse
C) A rectangular hyperbola
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Multiplying both, we get $ x^{2}-y^{2}=a^{2} $ . This is equation of rectangular hyperbola as $ a=b $ .