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 $ .