Question

In what ratio does the point P(-2,4) divide the line segment joining the points A(-3,6) and B(1,-2) internally​

Answer 1

Answer:

the point - be divided line segment in 1/3

Answer 2

Answer:

m:n = 1:3

Step-by-step explanation:

Given points are A(-3,6) and B(1,-2). P(-2,4) divide AB internally in the ratio m:n.

By section formula,

1. P(x,y) = P [mx2+nx1/m+n, my2+ny1/m+n]
2. =P (-2,4)............(1)
3. here x1 = -3, y1 = 6, x2 = 1, y2 = -2
4. ==》 [ m(1) + n (-3)/m+n, m(-2)+n(6)/ m+n]=P(-2,4)
5. Equating x-coordinates, we get
6. m-3n/m+n = -2 or m-3n = -2m-2n
7. 3m=n
8. m/n = 1/3
9. m:n = 1:3
10. hence P divides AB internally in the ratio. ______ ______