# Can you calculate least value?

Geometry Level 5

$$P$$ be a point such that $${P{P_{1}}}^{2} + {P{P_{2}}}^{2} + ... + {P{P_{5}}}^{2} = k$$ where $$P_{r}$$ is point with co-ordinates $$(r,{r}^{2})$$. Find the least value of $$k$$ for which such point $$P$$ exists.

Try more from my set Geometry Problems.

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