a tangent is drawn at any point p(4cosθ, 3sinθ) on the ellipse (x²/16) + (y²/9) = 1 and on it is taken a point q( , ) from which pair of tangents qa and qb are drawn to the circle (x²/12) + (y²/12) = 1?

a) (4cosθ, 3sinθ)
b) (4sinθ, 3cosθ)
c) (3cosθ, 4sinθ)
d) (3sinθ, 4cosθ)