ICSE Board Question Based on Section Formula Chapter of M.L Aggarwal for class10

In this question pairs of points are given to find the co-ordinates of the mid-point of the line segments joining this points.

This is the Question Number 01, Exercise 11 of M.L Aggarwal.

Deepak BoraNewbie

# Find the co-ordinates of the mid-point of the line segments joining the following pairs of points: (i) (2, – 3), ( – 6, 7) (ii) (5, – 11), (4, 3) (iii) (a + 3, 5b), (2a – 1, 3b + 4)

Share

Co-ordinates of midpoint of line joining the points (x_{1},y_{1}) and (x_{2},y_{2}) = {(x_{1}+x_{2})/2 ,(y_{1}+y_{2})/2}(i) Co-ordinates of midpoint of line joining the points (2, -3) and (-6,7) = {(2+-6)/2, (-3+7)/2}= (-4/2, 4/2)= (-2, 2)Hence the co-ordinates of midpoint of line joining the points (2, -3) and (-6,7) is (-2, 2).(ii) Co-ordinates of midpoint of line joining the points (x_{1},y_{1}) and (x_{2},y_{2}) = {(x_{1}+x_{2})/2 ,(y_{1}+y_{2})/2}Co-ordinates of midpoint of line joining the points (5, -11) and (4,3) = {(5+4)/2, (-11+3)/2}= (9/2, -8/2)= (9/2, -4)Hence the co-ordinates of midpoint of line joining the points (5, -11) and (4,3) is (9/2, -4).(iii) Co-ordinates of midpoint of line joining the points (x_{1},y_{1}) and (x_{2},y_{2}) = {(x_{1}+x_{2})/2 ,(y_{1}+y_{2})/2}Co-ordinates of midpoint of line joining the points (a+3, 5b) and (2a-1,3b+4) = {(a+3+2a-1)/2, (5b+3b+4)/2}= {(3a+2)/2, (8b+4)/2}= {(3a+2)/2, (4b+2)}Hence the co-ordinates of midpoint of line joining the points (a+3, 5b) and (2a-1,3b+4) are {(3a+2)/2, (4b+2)}.