Question

Find the ratio is which (4,p) divides the line joining the points (6,-2) and
(-3,16). Also find p.​

Answer 1

Step-by-step explanation:

♤ Let P(p,-1) divide the line segment 

joining the points A(1,-3)and B(6,2)

in m : 1

then using section formula

P=m+16m+1−−−(1) and −1=m+12m−3−−−(2)

Form equation (2) -m-1=2m-3

3m=2

[m=32]

Hence P  divide line segment in 2:3.

now form eq (1)

p=m+16m+1=32+16×32+1=35315=3.

Hence value of P in 3.