If the point (α, 7√3/3) lies on the curve traced by the mid-points of the line segments of the lines x

Question

If the point \(\left(\alpha ,\frac{7\sqrt{3}}{3}\right)\)lies on the curve traced by the mid-points of the line segments of the lines x cosθ + y sinθ = 7, θ ∈ \((0,\frac{\pi}{2})\) between the coordinates axes, then α is equal to 

(1) 7 

(2) -7 

(3) -7√3 

(4) 7√3

Answer 1

Correct option is (1) 7