Number of values of `alpha` such that the points `(alpha,6),(-5,0)` and (5,0) form an isosceles triangle is

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

Prove that the points (0,0),(5,5) and (-5,5) are the vertices of a right isosceles triangle.

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

For what value of alpha ,the points (1,2,3),(2,3,1) and (3,1,alpha) form an equilateral triangle?

Show that (8,2) , (5,-3) and (0,0) are the vertices of an isosceles triangle.

The points (1,-2),(-3,0) and (5,6) are the vertices of aright angled isosceles triangle

Find the values of alpha so that the point P(alpha^(2),alpha) lies inside or on the triangle formed by the lines x-5y+6=0,x-3+2=0 and x-2y-3=0

The range of value of alpha such that (0,alpha) lies on or inside the triangle formed by the lines y+3x+2=0,3y-2x-5=0,4y+x-14=0 is

Determine all the values of alpha for which the point (alpha,alpha^(2)) lies inside the triangle formed by the lines.2x+3y-1=0x+2y-3=05x-6y-1=0