If a point $P$ moves so that the distance from $(0,2)$ to $P$ is $\frac{1}{\sqrt{2}}$ times the distance of $P$ from $(-1,0)$, then the locus of the point $P$ is
- A
a circle with centre $(1,4)$ and radius 10 units
- B
a circle with centre $(-1,-4)$ and radius $\sqrt{10}$ units
- C
a circle with centre $(1,4)$ and radius $\sqrt{10}$ units
- D
a parabola with focus at $(1,4)$ and length of latus rectum 10 units
✓ Correct answer: C
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