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

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

The centroid of a triangle lies at the origin and the coordinates of its two vertices are (-8, 0) and (9, 11), the area of the triangle in sq. units is

If the area of the triangle whose one vertex is at the vertex of the parabola, y^(2) + 4 (x - a^(2)) = 0 and the other two vertices are the points of intersection of the parabola and Y-axis, is 250 sq units, then a value of 'a' is

Two sides of a triangle are along the coordinate axes and the medians through the vertices (other than the origin) are mutually perpendicular.The number of such triangles is/are zero (b) two (c) four (d) infinite

If a plane cuts off intercepts OA=a,OB=b,OC=c from the coordinate axes 9where 'O' is the origin). then the area of the triangle ABC is equal to

Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio 3:5. What is the ratio of their areas? (a) 3:5 (b) 6:10 (c) 9:25 (d) None of these

The area of a triangle is 3 square units. Two of its vertices are A (3, 1), B (1, -3) and the centroid of the triangle lies on x-axis. Find the coordinates of the third vertex C .

Two vertices of triangle are (-2,-1) and (3,2) and third vertex lies on the line x+y=5. If the area of the triangle is 4 square units, then the third vertex is a. (-0,50 or (4,1) b. (5,0) of (1,4) c. (5,0) or (4,1) d. (o,5) or (1,4)