The equation of the chord of contact of tangents drawn from a point $(2,-1)$ to the hyperbola

$16x^2-9y^2=144$ is:

From $T=0\text{ i.e., }\frac{x{x}_1}{a^2}-\frac{y{y}_1}{b^2}=1\text{. }$

Here, $16x^2-9y^2=144\text{ ie., }\frac{x^2}{9}-\frac{y^2}{16}=1$

So, the equation of chord of contact of tangents drawn from a point $(2,-1)$to the hyperbola is $\frac{2x}{9}-\frac{(-1)y}{16}=1$

$\text{ i.e., }32x+9y=144$