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Circle question

2024 · 1 Feb · Shift 2 · Q43

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PYQ Library
JEE Main
Mathematics
Circle
2024 · 1 Feb · Shift 2 · Q43

Circle question

2024 · 1 Feb · Shift 2 · Q43

JEE MainMathematicsCircleMCQ+4 / −1

Let the locus of the midpoints of the chords of the circle

x^2+(y-1)^2=1

drawn from the origin intersect the line

x+y=1

at

\mathrm{P}

and

\mathrm{Q}

. Then, the length of

\mathrm{PQ}

is :

A
$\frac{1}{2}$
B
1
C
$\frac{1}{\sqrt{2}}$
D
$\sqrt{2}$

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