This is the Important question of class 10 Based on Section Formula Chapter of M.L Aggarwal book for ICSE BOARD.

Here the mid-point of a line segment shown in the adjoining diagram . Write down the co-ordinates asked in question.

This is the Question Number 33, Exercise 11 of M.L Aggarwal.

Deepak BoraNewbie

# The mid-point of the line segment AB shown in the adjoining diagram is (4, – 3). Write down the co-ordinates of A and B.

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Let P(4,-3) be the midpoint of line joining the points A and B.Since A lies on X axis, its co-ordinates are (x_{2},0)Since B lies on Y axis, its co-ordinates are (0,y_{1})By midpoint formula, x = (x

_{1}+x_{2})/24 = (0+x_{2})/2x_{2 }= 4×2 = 8By midpoint formula, y = (y

_{1}+y_{2})/2-3 = (y_{1}+0)/2y_{1 }= -3×2 = -6Hence the co-ordinates of A and B are (8,0)and (0,-6) respectively.