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.

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

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

If y sqrt(1-x^(2))+x sqrt(1-y^(2))=1 show that (dy)/(dx)=-sqrt((1-y^(2))/(1-x^(2)))

Prove that sin ^ (- 1) x + cos ^ (- 1) y = (tan ^ (- 1) (xy + sqrt ((1-x ^ (2)) (1-y ^ (2)))) ) / (y sqrt (1-x ^ (2)) - x sqrt (1-y ^ (2)))

Show that the equation of the straight line joining the points (x_(1),y_(1))and(x_(2),y_(2)) can be expressed in the form (x-x_(2))(y-y_(1))=(x-x_(1))(y-y_(2)) .

Prove that the line passing through the points (x_(1),y_(1)) and (x_(2),y_(2)) is at a distance of |(x_(1)y_(2)-x_(2)y_(1))/(sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)))| from origin.

Prove that the line passing through the points (x_(1),y_(1)) and (x_(2),y_(2)) is at a distance of |(x_(1)y_(2)-x_(2)y_(1))/(sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)))| from origin.

Show that lines joining the origin to the points of intersection of 2(x^(2)+y^(2))=1 and x+y=1 coincide.

The line (x)/(1)=(y)/(2)=(z)/(2) and plane 2x-y+z=2 cut at a point A .The distance of point A from origin is: