Question

The slope of the tangent to the hyperbola $2x^2 - 3y^2 = 6$ at $(3, 2)$ is

• A. -1
• B. 1
• C. 0
• D. 2

Answer 1

Answer: (B)

1

Answer 2

Differentiating the given equation of the curve
$4 x-6 y .(d y / d x)= 0$
$\therefore d y / d x=2 x / 3 y$
$\left(\frac{d y}{d x}\right)_{(3,2)}=\frac{2}{3} \cdot \frac{3}{2}=1$