Question 41

Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4) What are the co-ordinates of point A?

Solution

Coordinates of mid point of line joining points $$(x_1,y_1)$$ and $$(x_2,y_2)$$ = $$(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})$$

Let coordinates of Point A = $$(x , y)$$

P = (3,1) and B = (5,-4)

=> $$3 = \frac{x+5}{2}$$

=> $$x = 6-5 = 1$$

Similarly, $$1 = \frac{y -4}{2}$$

=> $$y = 2+4 = 6$$

Thus, coordinates of Point A = (1,6)

=> Ans - (C)

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