Question

Show that A(a,b+c),B(b,c+a) and C(c,a+b) are colinear

Answer 1

Step-by-step explanation:

to show that 3 points are collinear: prove slope of AB=slope of BC

slope of AB=y2-y1/x2-x1

=(c+a-b-c)/(b-a)

=(a-b(/-(a-b)

=-1

slope of BC=y2-y1/x2-x1

=(a+b-c-a)/(c-b)

=(b-c)/-(b-c)

=-1

hence slope of AB= slope of BC

thus ABC is a straight line and A B C are collinear