Question

The points, where the normal to the ellipse x² + 3y² = 37 be parallel to the line 6x – 5y + 7 = 0 is / are

(a) (5, 2)

(b) (2, 5)

(c) (1, 3)

(d) (–5, –2)

Answer 1

Correct options are (a) & (b).

Let (x₁, y₁) be a point on ellipse then, x₁² + 3y₁² = 37_____(1)