Question: Equation of tangent to hyperbola $\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1$ equally inclined to coord...

Question

Equation of tangent to hyperbola $\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1$ equally inclined to coordinates axis is –

Answer 1

$\frac{x^{2}}{3} - \frac{y^{2}}{2}$ = 1... (1) $\left\{ \begin{matrix} a^{2} = 3 \\ b^{2} = 2 \end{matrix} \right.\$

Eq of tangent in slope form

Ž y = mx ± $\sqrt{a^{2}m^{2} - b^{2}}$ & m = ± 1

Question: Equation of tangent to hyperbola \(\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1\) equally inclined to coord...