Question

in what ratio does the point p(-2,4)divide the line segment joining the point a(-3,6) and b(1,-2) internally​

Answer 1

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,

P(x,y) = P [mx2+nx1/m+n, my2+ny1/m+n]

=P (-2,4)............(1)

here x1 = -3, y1 = 6, x2 = 1, y2 = -2

==》 [ m(1) + n (-3)/m+n, m(-2)+n(6)/ m+n]=P(-2,4)

Equating x-coordinates, we get

m-3n/m+n = -2 or m-3n = -2m-2n

3m=n

m/n = 1/3

m:n = 1:3

hence P divides AB internally in the ratio. ______ ______

Step-by-step explanation: