Question

A tangent is drawn to the ellipse (x²27 + y²1 = 1) at a point ((x, y)) such that (√3 cos(θ) = sin(θ)). If the sum of the intercepts on the axes made by it is minimum, then (θ) equals:
A) (π6)
B) (π4)
C) (π3)
D) (π2)