If the distance of a point on the ellipse x26+y22=1 from the  centre is 2, then the eccentric angle of the point, is

Let P(6cos⁡θ,2sin⁡θ) be a point on the ellipse x26+y22=1 It is given that OP=2, where O(0,0) is the centre of the ellipse⇒ 6cos2⁡θ+2sin2⁡θ=4⇒ sin2⁡θ=12⇒sin⁡θ=±12⇒θ=π4,3π4