Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis

Question

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

Answer 1

Answer:A 

Solution:

Clearly they lie on x + y = 4​