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Circle question

2024 · 4 Apr · Shift 2 · Q44

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PYQ Library
JEE Main
Mathematics
Circle
2024 · 4 Apr · Shift 2 · Q44

Circle question

2024 · 4 Apr · Shift 2 · Q44

JEE MainMathematicsCircleMCQ+4 / −1

Let

\mathrm{C}

be a circle with radius

\sqrt{10}

units and centre at the origin. Let the line

x+y=2

intersects the circle

\mathrm{C}

at the points

\mathrm{P}

and

\mathrm{Q}

. Let

\mathrm{MN}

be a chord of

\mathrm{C}

of length 2 unit and slope

-1

. Then, a distance (in units) between the chord PQ and the chord

\mathrm{MN}

is

A
$3-\sqrt{2}$
B
$2-\sqrt{3}$
C
$\sqrt{2}-1$
D
$\sqrt{2}+1$

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