Show that if


Show that if $x^{2}+y^{2}=1$, then the point $\left(x, y \sqrt{1-x^{2}-y^{2}}\right)$ is at a distance 1 unit from the origin.


Given $x^{2}+y^{2}=1 \Rightarrow 1-x^{2}-y^{2}=0$

Distance of the point $\left(x, y \sqrt{1-x^{2}-y^{2}}\right)$ from origin is $=$





$=1$ unit.

When $x=1$ the distance of that point from origin will be 1 unit.

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