Question

The sum and product of the slopes of the tangents to the hyperbola $\frac{x^2}{4}-\frac{y^2}{2}=1$ drawn from the point (3, –2) are

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$m_1+m_2=\frac{2x_1{y}_1}{x_1^2-a^2}\Rightarrow m_1+m_2=\frac{-12}{5}{m}_1{m}_2=\frac{y_1^2+b^2}{x_1^2-a^2}=\frac{6}{5}$