Question

The points A(x , y ), B(x y ) and C(x , y ) are the vertices of ΔABC.

(i) The median from A meets BC at Find the coordinates of the point D.

(ii) Find the coordinates of the point P on AD such that AP : PD = 2:1

(iii) Find the coordinates of points Q and R on medians BE and CF, respectively such that BQ:QE = 2:1 and CR:RF = 2:1

(iv ) What are the coordinates of the centroid of the ΔABC?

Answer 1

Given that, the points A (x y ), B(x , y )andC (x , y )are the vertices of ΔABC.

(i) We know that, the median bisect the line segment into two equal parts i.e., here D is the mid-point of BC.