Conic Sections Question 73
Question: The equation of the tangent to the hyperbola $ 2x^{2}-3y^{2}=6 $ which is parallel to the line $ y=3x+4 $ , is
[MNR 1993]
Options:
A) $ y=3x+5 $
B) $ y=3x-5 $
C) $ y=3x+5 $ and $ y=3x-5 $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Let tangent be $ y=3x+c $
$ c=\pm \sqrt{a^{2}m^{2}-b^{2}}=\pm \sqrt{3.9-2}=\pm 5 $
therefore $ y=3x\pm 5 $ .
BETA
