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PARAGRAPH "X" Let S be the circle in th...

PARAGRAPH `"X"` Let `S` be the circle in the `x y` -plane defined by the equation `x^2+y^2=4.` (For Ques. No 15 and 16) Let `E_1E_2` and `F_1F_2` be the chords of `S` passing through the point `P_0(1,\ 1)` and parallel to the x-axis and the y-axis, respectively. Let `G_1G_2` be the chord of `S` passing through `P_0` and having slope `-1` . Let the tangents to `S` at `E_1` and `E_2` meet at `E_3` , the tangents to `S` at `F_1` and `F_2` meet at `F_3` , and the tangents to `S` at `G_1` and `G_2` meet at `G_3` . Then, the points `E_3,\ F_3` and `G_3` lie on the curve `x+y=4` (b) `(x-4)^2+(y-4)^2=16` (c) `(x-4)(y-4)=4` (d) `x y=4`

A

x + y = 4

B

`(x-4)^(2) + (y - 4)^(2) = 16`

C

`(x- 4) (y - 4) = 4`

D

`xy = 4`

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A
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MOTION-CIRCLE-Exercise - 4 | Level - II (Previous Year | JEE Advanced
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