Q41 of 66 Page 7

Show that the points (a,a) , (-a,-a) and ( - √3a,√3a) are the vertices of an equilateral triangle. (CBSE 2015) 




As AB = BC = CA = 2√2 a units
It is equilateral triangle.

More from this chapter

All 66 →
39

If (0, - 3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.(CBSE 2014)

 40

If A (3, y) is equidistant from points P (8, -3) and Q (7,6) , find the value of y and find the distance AQ.(CBSE 2014)

 42

Find the area of the triangle ABC with A(1,-4) and mid-points of sides through A being (2,-1) and (0,1).(CBSE 2015)

 43

Let P and Q be the points of trisection of the line segment joining the points A (2, - 2) and B (- 7, 4) such that P is nearer to A. find the coordinate of P and Q.(CBSE 2016)