Conic Sections Question 159

Question: The equation of the tangent to the conic $ x^{2}-y^{2}-8x+2y+11=0 $ at (2, 1) is

[Karnataka CET 1993]

Options:

A) $ x+2=0 $

B) $ 2x+1=0 $

C) $ x-2=0 $

D) $ x+y+1=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

Equation of the tangent to $ x^{2}-y^{2}-8x+2y+11=0 $ at (2, 1) is $ 2x-y-4(x+2)+ $

$ (y+1)+11=0 $ or $ x=2 $ .