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Ellipse question

2018 · Shift 1 · Q34

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PYQ Library
JEE Advanced
Mathematics
Ellipse
2018 · Shift 1 · Q34

Ellipse question

2018 · Shift 1 · Q34

JEE AdvancedMathematicsEllipseMCQ+3 / −1

Let S be the circle in the XY-plane defined the equation x2 + y2 = 4. Let P 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

A
(x + y)2 = 3xy
B
x2/3 + y2/3 = 24/3
C
x2 + y2 = 2xy
D
x2 + y2 = x2y2

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