Question

pls answer me fast....​

Answer 1

Step-by-step explanation:

Equation of circle:

${x}^{2} + {y}^{2} - 2 = 0$

$\implies 2x + 2y \frac{dy}{dx} = 0$

$\implies \frac{dy}{dx} = - \frac{x}{y}$

$\implies \frac{dy}{dx}_{(x = - 1 \: \: y = 1)} = 1$

Now,

Equation of tangent:

$(y - 1) = 1(x + 1) \implies \: y = x + 2$