Question

for what value of P the points P(-5,1) O(1,p)and R(4,-2) are colinear. Find the length PQ,QR,RP. what is the relationship between the lengths ​

Answer 1

Answer:

Hi !

x₁ = -5

x₂ = 1

x₃ = 4

y₁ = 1

y₂ = p

y₃ = -2

For the points to be collinear :-

x₁(y₂ -y₃) + x₂(y₃ - y₂) + x₃(y₁ - y₂) = 0

-5{ p -(-2)} + 1 ( - 2 - 1) + 4( 1 - p) = 0

-5(p+2) + 1(-3) + 4( 1 - p) = 0

-5p - 10 - 3 + 4 - 4p = 0

-9p - 9 = 0

-9p = 9

p = 9/-9

p = -1