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Circle question

2018 · Shift 1 · Q33
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  5. /2018 · Shift 1 · Q33

Circle question

2018 · Shift 1 · Q33

JEE AdvancedMathematicsCircleMCQ+3 / −1
Let S be the circle in the XY-plane defined 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 Y-axis, 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, then 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
  1. A
    x + y = 4
  2. B
    (x −-− 4)2 + (y −-− 4)2 = 16
  3. C
    (x −-− 4)(y −-− 4) = 4
  4. D
    xy = 4
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