The distance of `P(x_(1),y_(1))` from the origin O(0,0) is OP=

If the distance of the point (1,1,1) from the origin is half its distance from the plane x+y+z+k=0 , then k is equal to

The distance of the point P(x_(0),y_(0),z_(0)) from z - axis

If the product of distances of the point (1,1,1) from the origin and plane x-y+z+lambda=0 be 5 then lambda=

If the equation of the locus of a point P such that the distance of P from the origin is twice the distance of P from A(1 2) is 3x^(2) + 3y^(2) -ax - by+c =0 then a+b+c =

The distance from the origin to the image of (1,1) with respect to the line x+y+5=0 is

If the distance of the point P(x, y) from A(a, 0) is a+x , then y^(2)=?

A plane passes through the point P(4,0,0) and Q(0,0,4) and is parallel to the y-axis.The distance of the plane from the origin is

A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is parallel to the Y-axis. The distance of the plane from the origin is

If the two lines x+(a-1)y=1 and 2x+a^(2)y=1 , (a in R-{0}) are perpendicular , then the distance of their point of intersection from the origin is

If 'alpha' be the angle subtended by the points P(x_(1),y_(1)) and Q(x_(2),y_(2)) at origin O, Show that OP.OQ.cos alpha=x_(1)x_(2)+y_(1)y_(2)