Question

if A and B are (4, -5) and (4,5) respectively find the coordinates of P such that ap = 2/5 AB and P lies on AB.​

Answer 1

Answer:

(3+43×(2)+4×(−2)

Step-by-step explanation:

Given:- A line segment joining the points A(−2,−2) and B(2,−4). P is a point on AB such that AP=73AB.

Now,

AP=73AB(Given)

7AP=3(AP+BP)

7AP=3AP+3BP

⇒7AP−3AP=3BP

⇒BPAP=43

Therefore, 

Point P divides AB internally in the ratio 3:4.

As we know that if a point (h,k) divides a line joining the point (x1,y1) and (x2,y2) in the ration m:n, then coordinates of the point is given as-

(h,k)=(m+nmx2+nx1,m+nmy2+ny1)

Therefore,

Coordinates of P= (3+43×(2)+4×(−2),

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