Question

Find the equations of the tangent and the normal, to the curve 16x² + 9y² = 145 at the point (x₁, y₁), where x₁ = 2 and y₁ > 0.

Answer 1

x₁ = 2 = y₁ = 3 (:.  y₁ > 0)

Differentiating the given equation, we get,

Detailed Solution :

Now, equation of Normal is given by