The points `(a , b),(c , d),` and `((k c+l a)/(k+l),(k d+l b)/(k+l))` are (a) vertices of an equilateral triangle (b) vertices of an isosceles triangle (c) vertices of a right-angled triangle (d) collinear

The points (-a ,-b),(a , b),(a^2,a b) are (a) vertices of an equilateral triangle (b) vertices of a right angled triangle (c) vertices of an isosceles triangle (d) collinear

If the points A(z),B(-z),C(1-z) are the vertices of an equilateral triangle ABC then Re(z) is

The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtuse-angled triangle (B) an acute-angled triangle (C) a right-angled triangle (D) none of these

A triangle with vertices (4,0),(-1,-1),(3,5) show that triangle is isosceles and right angled.

If a vertex, the circumcenter, and the centroid of a triangle are (0, 0), (3,4), and (6, 8), respectively, then the triangle must be (a) a right-angled triangle (b) an equilateral triangle (c) an isosceles triangle (d) a right-angled isosceles triangle

Prove that the points (1,-3,1), (0,1,2), (2,-1,3) are the vertices of an isosceles right angled triangle

The points A(0,0),B(cosalpha,sinalpha) and C(cosbeta,sinbeta) are the vertices of a right-angled triangle then

Show that the points (3,0),(6,4) and (-1,3) are the vertices of a right angled isosceles triangle.

Three point charges each equal to q are placed on the vertices of an equilateral triangle of side l. The potential energy of the system is

If A(1, 4, 2), B(-2, 1, 2) and C(2, -3, 4) are the vertices of the triangle ABC, then find the angles of the triangle ABC.