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Ellipse question

2023 · 10 Apr · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
Ellipse
2023 · 10 Apr · Shift 1 · Q26

Ellipse question

2023 · 10 Apr · Shift 1 · Q26

JEE MainMathematicsEllipseMCQ+4 / −1

Let the ellipse

E:{x^2} + 9{y^2} = 9

intersect the positive x and y-axes at the points A and B respectively. Let the major axis of E be a diameter of the circle C. Let the line passing through A and B meet the circle C at the point P. If the area of the triangle with vertices A, P and the origin O is

{m \over n}

, where m and n are coprime, then

m - n

is equal to :

A
15
B
16
C
17
D
18

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