Question

calculate the ratio in which the line joining a(6 5) and b(4 -3) is divided by the point P(x,3).also find (1)x (2)length of AP.

Answer 1

Answer:

follow the attachment

Answer 2

Step-by-step explanation:

ratio =1:3

to find the length of ap,first we need to find the value of 'x'

(4m+6n/m+n)=x

on substituting the values of m and n

4(1)+6(3)/1+3=x

4+18/4=x

22/4=x

therefore p(x,y)=(22/4,3)

now by using distance formulae,

ap=√(22/4-6)^2+(3-5)^2

√(22-24/4)^2+(-2)^2

√(-2/4)^2+4

√1/4+4

√1+16/4

√17/4

=√17/2

therefore the diatance between a and p is √17/2