Which of the following sets of points form an equilateral triangle? (a) `(1,0),(4,0),(7,-1)` (b) `(0,0),(3/2,4/3),(4/3,3/2)` (c)`(2/3,0),(0,2/3),(1,1)` (d) None of these

Show that the following points taken in order form an equilateral triangle in each case . (i) A(2,2), B(-2,-2), C-2sqrt(3),2sqrt(3)) (ii) A(sqrt(3),2),B(0,1),C(0,3)

Which of the following represents a points in an Argand pane, equidistant from the roots of the equation (z+1)^4=16 z^4? (0,0) b. (-1/3,0) c. (1/3,0) d. (0,2/(sqrt(5)))

In A B C , the coordinates of B are (0,0),A B=2,/_A B C=pi/3, and the middle point of B C has coordinates (2,0)dot The centroid o the triangle is (a) (1/2,(sqrt(3))/2) (b) (5/3,1/(sqrt(3))) (c) (4+(sqrt(3))/3,1/3) (d) none of these

If the point (0,0),(2,2sqrt(3)), and (P ,q) are the vertices of an equilateral triangle, then (p ,q) is (a) (0,-4) (b) ( 4,4) c)(4,0) (d) (5,0)

Plot the following points in the plane . Join them in order . What type of geometircal shape is formed ? (i) (0,0),(-4,0)(-4,-4) (ii) (-3,3) (3,3),(-6,-1)(5,-1)

(i) {:[( 1,0,0),( 0,1,0),( 0,0,1) ]:}" "(ii) {:[( 1,0,4),(3,5,-1),( 0,1,2) ]:}

Find the area of the triangle vertices are (2, 3) (-1, 0), (2, -4)

Let A={1, 2, 3, 7} and B={3, 0, -1, 7} , which of the following are relation from A to B? R_(4)={(7, -1), (0, 3), (3, 3), (0, 7)}

Evaluate the determinant Delta = {:[(1,2,4),(-1,3,0),( 4,1,0)]:}

The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) is (a) (3,5/4) (b) (3,12) (c) (3,3/4) (d) (3,9)