Conic Sections Question 122

Question: The equation of the tangent to the hyperbola $ 4y^{2}=x^{2}-1 $ at the point (1, 0) is

[Karnataka CET 1994]

Options:

A) $ x=1 $

B) $ y=1 $

C) $ y=4 $

D) $ x=4 $

Show Answer

Answer:

Correct Answer: A

Solution:

The equation of the tangent to $ 4y^{2}=x^{2}-1 $ at (1,0) is $ 4(y\times 0)=x\times 1-1 $ or $ x-1=0 $ or $ x=1 $ .