Class 10 Maths · Coordinate Geometry · NCERT Exercise 7.4 · Question 3

Coordinate Geometry Medium

The points A

(x_{1}, y_{1})

, B

(x_{2}, y_{2})

and C

(x_{3}, y_{3})

are the vertices of

△ A B C

iThe median from A meets BC at D. Find the coordinates of the point D.
iiFind the coordinates of the point P on AD such that AP : PD = 2 : 1.
iiiFind the coordinates of points Q and R on medians BE and CF, respectively, such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.
ivWhat are the coordinates of the centroid of the triangle ABC?

Answer

D = (\frac{x _{2} + x _{3}}{2}, \frac{y _{2} + y _{3}}{2})

;

P = Q = R =

centroid

G = (\frac{x _{1} + x _{2} + x _{3}}{3}, \frac{y _{1} + y _{2} + y _{3}}{3})

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