Question

PLEASE ANSWER THE FOLLOWING QUESTIONS AS SOON AS POSSIBLE


57. Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).
(a) (2, 3)
(b) (–1, –2)
(c) (0, 3)
(d) (1, 3)

58. Find the coordinates of the point equidistant from the points A(5, 1), B(–3, –7) and C(7, –1).
(a) (2, –4)
(b) (3, –6)
(c) (4, 7)
(d) (8, –6)


59. Two of the vertices of a TriangleABC are given by A(6, 4) and B(–2, 2) and its centroid is G(3, 4). Find the coordinates of the third vertex C of the ΔABC.
(a) (2, 3)
(b) (4, 6)
(c) (4, 3)
(d) (5, 6)

Answer 1

Step-by-step explanation:

Q.59

For x ,

centroid formula = X1+X2+X3/3

3 = 6 +(-2)+ ×3/3

9 = 4 + X3

x3 = 5

For y ,

centroid formula = X1 +X2 +X3/3

4 = 4 + 2+ X3/3

12 = 6+ X3

X3 = 6