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

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

Show that the points (a,b,c)(b,c,a) and (c,a,b) are the vertices of an equilateral triangle.

In an equilateral triangle A B C if A D_|_B C , then

The three points (-2,2)(8,-2),a n d(-4,-3) are the vertices of (a) an isosceles triangle (b) an equilateral triangle (c) a right-angled triangle (d) none of these

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 whose all sides are equal is called (a) an equilateral triangle (b) an acute triangle (c) a right triangle (d) an isosceles triangle

The points A(x,y), B(y, z) and C(z,x) represents the vertices of a right angled triangle, if

Can an equilateral triangle be a, an acute-,b. a right-, and c. an obtuse-angled triangle ? What about isosceles and scalene triangles ?

Prove that the points A (1,-3) B (-3,0) and C(4,1) are the vertices of an isosceles right angle triangle. Find the area of the triangle.

Prove that the points A(1, 1) , B(-1, -1) and C(sqrt(3), -sqrt(3)) are the vertices of an equilateral triangle.