Question

in what ratio does the point P on the x-axis divide the line segment joining the midpoint A(-4,5) and B(3,-7)? Also find the coordinates of the point P. (Ans: ratio =5:7 and point P =(-13/0)

Answer 1

Let x-axis divides the line segment joining (–4, 5) and (3, 7) at the point P in the ratio 1 : k.

Now, coordinates of point of division P are

x coordinate = (3 - 4k) / (k + 1)

y coordinate = (7 - 5k) / (k + 1)

Since P lies on x-axis, therefore y coordinate = 0

(7 - 5k) / (k + 1) = 0

7 - 5k = 0

k = 7/5

Hence, the ratio is 1:7/5 = 5:7

Now, the coordinates of P are (-13, 0)

Answer 2

Answer:

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