Question

find the relationship between P and Q is(-3, 9) (2, p) and (4, q ) are collinear

Answer 1

HEY THERE!!

Question;-

find the relationship between P and Q is(-3, 9) (2, p) and (4, q ) are collinear.

Method of Solution:-

For collinear must be area of trangle = 0

We know that Formula of area of Triangle (collinear);-

a1(a2-a3)+a2(a3-a1)+a3(a1-a2)=0

Substitute the value of Required terms;-

a1(b2-b3)+a2(b3-b1)+a3(b1-b2)=0

-3(p-q)+2(q-9)+4(9-p) =0

-3p+3q+2q-18+36-4p=0

-3p-4p+5q+18=0

-7p+q+18=0

-7p+q=-18
-1(7p-q)=-18


•°• 7p-q=18


Hence , Relationship between P and Q is(-3, 9) (2, p) and (4, q )= 7p-q=18