JEE Math Practice Question
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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