Question

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

• A. $y=1$
• B. $x+y=3$
• C. $x=2$
• D. $2x-y=3$

Answer 1

The correct option is C $x=2$

The equation of tangent to curve $x^2-y^2-8x+2y+11=0$
at $(2,1)$ is $T=0$
$\Rightarrow 2x-y-4(x+2)+(y+1)+11=0$
$\Rightarrow x=2$