Question

The following notation($S_1$) in the circle is used to find the tangent to the circle at point $(x_1,y_1)$
$S\equiv x^2+y^2+2gx+2fy+c$
$S_1\equiv x{x}_1+y{y}_1-g\left(x+x_1\right)-f\left(y+y_1\right)+c$

• A. True
• B. False

Answer 1

The correct option is B False

Actually tangent at point $(x_1,y_1)$ to the circle is given by $T=0$

$\Rightarrow x\left(x_1\right)+y\left(y_1\right)+g(x+x_1)+y(f+f_1)+c=0$

$\therefore B)$ False.