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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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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.

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1. 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 (x2,0)

Since B lies on Y axis, its co-ordinates are (0,y1)

By midpoint formula, x = (x1+x2)/2

4 = (0+x2)/2

x= 4×2 = 8

By midpoint formula, y = (y1+y2)/2

-3 = (y1+0)/2

y= -3×2 = -6

Hence the co-ordinates of A and B are (8,0)and (0,-6) respectively.

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