PARAGRAPH “X”
Let S be the circle in the x-y plane defined by the equation x2 + y2 = 4.
Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the yaxis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curve
(A) x + y = 4 (B) (x -4)2 + (y - 4)2 = 16
(C) (x - 4) (y - 4) = 4 (D) xy = 4