Conic Sections Question 444
Question: The product of the lengths of perpendiculars drawn from any point on the hyperbola $ x^{2}-2y^{2}-2=0 $ to its asymptotes is
[EAMCET 2003]
Options:
A) 1/2
B) 2/3
C) 3/2
D) 2
Show Answer
Answer:
Correct Answer: B
Solution:
Given equation is $ \frac{x^{2}}{2}-\frac{y^{2}}{1}=1 $ ……(i) Product of length of perpendiculars drawn from any point on the hyperbola (i) to the asymptotes is $ \frac{a^{2}b^{2}}{a^{2}+b^{2}}=\frac{2\times 1}{2+1}=\frac{2}{3} $ .
BETA
