JEE Math Practice Question

Let $$\mathrm{P}$$ and $$\mathrm{Q}$$ be any points on the curves $$(x-1)^{2}+(y+1)^{2}=1$$ and $$y=x^{2}$$, respectively. The distance between $$P$$ and $$Q$$ is minimum for some value of the abscissa of $$P$$ in the interval :

1. A.$$\left(0, \frac{1}{4}\right)$$
2. B.$$\left(\frac{1}{2}, \frac{3}{4}\right)$$
3. C.$$\left(\frac{1}{4}, \frac{1}{2}\right)$$
4. D.$$\left(\frac{3}{4}, 1\right)$$