Conic Sections Question 23
Question: The line $ 3x-4y=5 $ is a tangent to the hyperbola $ x^{2}-4y^{2}=5 $ . The point of contact is
Options:
A) (3, 1)
B) (2, 1/4)
C) (1, 3)
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Suppose point of contact be (h, k), then tangent is $ hx-4ky-5=0\equiv 3x-4y-5=0 $ or $ h=3,k=1 $
Hence the point of contact is (3, 1).
BETA
