Are the points ( 3 , 2) , ( - 2 , - 3) and ( 2 , 3) form a triangle ? `(AS_(2))`

Verify that the points ( 1 , 5) , (2 , 3) and ( - 2 , -1) are collinear or not . (AS_(2))

Show that the points (2, 3, 5), (-1, 5, -1) and (4, -3, 2) form a right angled isosceles triangle.

Show that the points (1, 2, 3), (2, 3, 1) and (3, 2, 1) form an equilateral triangle.

The points ( 3 , - 2) , (- 2 , 8) and ( 0 ,4) are three points in a plane . Show that these points are collinear . (AS_(2))

Find the area of the triangle formed by the points ( 0 , 0) , ( 4 , 0) ,( 4 , 3) by unsing Heron's formula . (AS_(1))

Find the area of a triangle formed by the points A(5 , 2) , B ( 4 , 7) and C ( 7 , -4) . (AS_(1))

Find the area of the quadrilateral whose vertices taken inorder are ( - 4 , - 2) , ( - 3 , - 5) , ( 3 , - 2) and ( 2 , 3) (AS_(1))

Find the coordinates of the point which divides the line segment join-ing the points ( - 1 , 7) and ( 4 , - 3) in the ratio 2 : 3 (AS_(1))

Show that the points (1,2,3), (2,3,1) and (3,1,2) form an equilateral triangle.