ExamBro
ExamBro
WBJEE · Maths · Ellipse

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

  1. A \(x+2=0\)
  2. B \(2 x+1=0\)
  3. C \(x+y+1=0\)
  4. D \(x-2=0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(x-2=0\)

Step-by-step Solution

Detailed explanation

Hints : Equation of tangent at \(\left(x_1, y_1\right)\) is \[ \begin{aligned} & x x_1-y y_1-4\left(x+x_1\right)+\left(y+y_1\right)+11=0 \\ & x_1=2 ; y=1 \end{aligned} \] \(\therefore\) Equation of tangent is…