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Find the radio in which P (4, m) divides the line segment joining the points A (2, 3) and B (6, -3). Hence find m

User Ranvel
by
8.1k points

1 Answer

5 votes

Answer:

The value of m is 0.

Explanation:

Let the point P divides the line AB in k:1.

The coordinates of line AB are A (2, 3) and B (6, -3).

The coordinates of P are (4,m).

By section formula, if a point divides a line in m:n, then


P=((x_2m+x_1n)/(m+n),(y_2m+y_1n)/(m+n))


4=(6k+2)/(k+1)


4(k+1)=6k+2


4k+4=6k+2


2k=2


k=1

It means the point P divides the line AB in 1:1. So, P is the midpoint of AB.


m=(3+(-3))/(2)=(0)/(2)=0

Therefore the value of m is 0.

User TimG
by
8.2k points
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