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Circle question

2025 · 29 Jan · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
Circle
2025 · 29 Jan · Shift 1 · Q42

Circle question

2025 · 29 Jan · Shift 1 · Q42

JEE MainMathematicsCircleMCQ+4 / −1

Let the line x+y=1 meet the circle

x^2+y^2=4

at the points A and B. If the line perpendicular to AB and passing through the mid-point of the chord AB intersects the circle at C and D, then the area of the quadrilateral ABCD is equal to :

A
$\sqrt{14}$
B
$3\sqrt{7}$
C
$2\sqrt{14}$
D
$5\sqrt{7}$

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