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JEE Advanced 2018 Paper 1

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Let S be the circle in the xy-plane defined by the equation x2+y2=4
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Question : 52

Total: 54

Let ܲ be a point on the circle ܵS with both coordinates being positive. Let the tangent to ܵS at P ܲ intersect the coordinate axes at the points M and ܰN. Then, the mid-point of the line segment MN ܰmust lie on the curve

[JEE Adv 2018 P1]

(x+y)2=3xy
x
2
3
+y
2
3
=2
4
3
x2+y2=2xy
x2+y2=x2y2

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