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

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

Show that the points (-2,5),(3,-4),(7,10) form a right angled isosceles triangle.

Show that the points (0,7,10),(-1,6,6) and (-4,9,6) form a right angled isosceles triangle .

Show that the points (2,4),(2,6) (2+sqrt3,5) form an equilateral triangle.

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

Show that the points (3,4), (-5, 16), (5,1) are collinear.

Show that the points (-1, 0, -4), (0, 1, -6) and (1, 2, -5) from a right angled triangle. [Hint : Sum of squares of any two sides is equal to the square of third side.]

Show that the points (1, 1), (2, 3) and (5, 9) are collinear.

Find the locus of a point P If the join of the points (2,3) and (-1,5) subtends a right angle at P.

Without using pythagoras theorem, show that the points A(-1,3) ,B(0,5) and C(3,1) are the vertices of a right angled triangle