Question

36.Prove that the coordinates of the centroid of a AABC with vertices A(x, y), B(x,y),Cix,,Y:)
are given by ( *, ****,, 9; *y*).
3
37.A (3,2) and B(-2,1) are two vertices of a AABC whose centroid G has coordinates
Find the coordinates of the third vertex C of the triangle. ( Ans. (4,-4))
38. The coordinates of the mid point of the line segment joining the points (3p,4) and (-2,29) are

(5,p). Find the values of p and q. ( Ans. p = 4, q = 2)
(39)Two vertices of a triangle are (1,2) and (3,5). If the centroid of the triangle is at origin, find the
coordinates of the third vertex. ( Ans. (-4,-7))
40.If ‘a’ is the length of one side of an equilateral triangle ABC, base BC lies on x - axis and
vertex B is at origin, find the coordinates of vertices of AABC. ( Ans.
(a aſ
- \,B=(0,0),C =(a,0))
A = ( 22 )​

Answer 1

Answer:

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