Let P be a point on ellipse 4x2 + y2 = 8 with eccentric angle π/4 . If tangent at P intersects the x-axis at A and y-axis at B and normal at P intersect the x-axis at A' and y-axis at B'. The ratio of area of triangle APA' to area of triangle BPB' is
(A) 1 : 1
(B) 2 : 1
(C) 3 : 1
(D) 4 : 1
Correct option (D) 4 : 1
Explanation:
Clearly %P = (1,2)
Equation of tangent at P is 4x (1) + y(2) = 8
A = (2,0) and B = (0, 4)
Similarly normal at P is 2x - 4y + 6 = 0
