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Circle

Section: Mathematics

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Question : 14

Total: 27

Let S be the circle in the xy-plane defined by the equation x2+y2=4

Let E1E2 and F1F2 be the chord 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 a E3 the tangents of S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3.Then, the point E3,F3 and G3 lie on the curve

[JEE Adv 2018 P1]

x+y=4
(x−4)2+(y−4)2=16
(x−4)(y−4)=4
xy=4

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