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

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

If each of the vertices of a triangle has integral coordinates, then the triangles may be

If each of the vertices of a triangle has integral coordinates, then the triangles may be

If S is a set of triangles whose one vertex is origin and other two vertices are integral coordinates and lies on coordinate axis of area 50 square units,then number of elements in set S is equal to ( a ) 9 (b) 18 (c) 36 (d) 40

Find the in-centre of the right angled isosceles triangle having one vertex at the origin and having the other two vertices at (6, 0) and (0, 6).

If S be the set of all triangles and f:S rarr R^(+),f(Delta)= Area of Delta, then f is

Show that the triangle which has one of the angles as 60^(@) can not have all vertices with integral coordinates.

If the vertices of a triangle are (1,k),(4,-3) and (-9,7) and its area is 15 eq. units, then the value(s) of k is

Prove that that a triangle which has one of the angle as 30^0 cannot have all vertices with integral coordinates.

Show that the triangle which has one of the angles as 60^(@) can not have all verticles with integral coordinates.