A set S is points in the xy-plane is symmetric about the origin, both coordinate axes If (2, 3) is in S, what is the smallest number of points in S?

If a point lies in xy-plane then what is it z-coordinate?

Find the coordinates of points P,Q,R and S in Figure.

Let "S" be the set of all triangles in the xy-plane,each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates .If each triangle in "S" has area "60" sq.units,then the number of elements in the set "S" are

Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 eq. units, then the number of elements in the set S is

A variable plane at constant distance p form the origin meets the coordinate axes at P,Q, and R. Find the locus of the point of intersection of planes drawn through P,Q, r and parallel to the coordinate planes.

Find the components along the coordinate axes of the position vector of each of the following points: S(4,-3)

Let S be the circle in the x y -plane defined by the equation x^2+y^2=4. (For Ques. No 15 and 16) Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N . Then, the mid-point of the line segment M N must lie on the curve (x+y)^2=3x y (b) x^(2//3)+y^(2//3)=2^(4//3) (c) x^2+y^2=2x y (d) x^2+y^2=x^2y^2

A variable plane at a constant distance p from the origin meets the coordinate axes in points A,B and C respectively.Through these points, planes are drawn parallel to the coordinate planes,show that locus of the point of intersection is (1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=(1)/(p^(2))

Observe the figure and write the coordinates of points P,Q,R and S.