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

The mid-point of the line segment AB shown in the adjoining diagram is (4, -3). Write down the coordinates of A and B. Section Formula, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Section Formula

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Answer

From graph we see,

A lies on x-axis and B be on the y-axis.
Let coordinates of A be (x, 0) and of B be (0, y). P(4, -3) is the mid-point of AB.

4=x+02 and 3=0+y2\therefore 4 = \dfrac{x + 0}{2} \text{ and } -3 = \dfrac{0 + y}{2}
⇒ x = 8 and y = -6.

Hence, coordinates of A will be (8, 0) and of B will be (0, -6).

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