If x2+y2=1 then the distance from the point x,y,1−x2−y2 to the origin is

A
1
B
-1
C
0
D
2

Solution:

Distance from point $(x, y, \sqrt{1 - x^{2} - y^{2}})$ to the origin

$\begin{array}{l} = \sqrt{{(x - 0)^{2} + (y - 0)^{2} + \sqrt{(1 - x^{2} - y^{2}} - 0)}^{2}} \\ = \sqrt{x^{2} + y^{2} + 1 - x^{2} - y^{2}} \\ = \sqrt{1 + 1 - (1)} [∵ x^{2} + y^{2} = 1 given] \\ = \sqrt{1} = 1 \end{array}$

If $x^{2} + y^{2} = 1$ then the distance from the point $(x, y, \sqrt{1 - x^{2} - y^{2}})$ to the origin is

Solution:

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