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Show that , if x^(2)+y^(2)=1, then the p...

Show that , if `x^(2)+y^(2)=1`, then the point ` (x,y,sqrt(1-x^(2)-y^(2)))` is at is distance 1 unit form the origin.

Text Solution

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Given that `x^(2) + y^(2) =1`
Distance of the point `(x,ysqrt(1-x^(2)-y^(2)))` from collinear, then AB+ BC=AC.
`d=|sqrt(x^(2)+y^(2)+(sqrt(1-x^(2)-y^(2)))^(2))|`
`=|sqrt(x^(2)+y^(2)+1-x^(2)-y^(2))|=1`
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