Conic Sections Question 464
Question: If $ 5x^{2}+\lambda y^{2}=20 $ represents a rectangular hyperbola, then $ \lambda $ equals
Options:
A) 5
B) 4
C) -5
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Since the general equation of second degree represents a rectangular hyperbola, if $ \Delta \ne 0,h^{2}>ab $ and coefficient of $ x^{2}+ $ coefficient of $ y^{2}=0 $ . Therefore the given equation represents a rectangular hyperbola, if $ \lambda +5=0 $ i.e., $ \lambda =-5 $ .
BETA
