Question

6. If A and B are (-2,-2) and (2,-4) respectively. Find the coordinates of P such that
7AP=
3AB and Plies on the segment AB.​

Answer 1

Answer:

Let co-ordinator of A=(-2,-2)

co-ordinator of B=(2,-4)

7AP=3AB

7AP=3(AP+BP)

7AP=3AP+3BP

4AP=3BP

AP/BP=3/4

m/n=3/4

Using Section Formula

x=mx2+nx1/m+n

=3×2+4×(-2)/3+4

=6-8/7

x=-2/7

y=my2+ny1/m+n

=3×(-4)+4×(-2)/3+4

=-12-8/7

y=-20/7

P=(x,y)

P=(-2/7,-20/7)

It is a brealent Answer