A tangent is drawn at the point (3√3cosθ, sinθ) 0 < θ < π/2 of an ellipse x2/27+ y2/1 = 1, the least value of the sum of the intercepts on the co-ordinates axes by this tangent is attained at θ =
(a) π/3
(b) π/6
(c) π/8
(d) π/4
Correct option (b) π/6
Explanation:
Equation of tangent to the ellipse x2/27 + y2/1 = 1