Question

prove that A(1, 1) B(2, 2) and C(3, 3) lie in same line​

Answer 1

Answer:

we will find

d(AB)=√(2-1)^2+(2-1)^2

=√(1)^2+(1)^2

=√1+1

=√2

d(BC)=√(3-2)^2+(3-2)^2

=√1+1

=√2

d(AC)=√(3-1)^2+(3-1)^2

=√(2)^2+(2)^2

=√4+4

=√8

=√4*2

=2√2

d(AC)=d(AB)+d(BC)

The points A(1, 1) B(2, 2) and C(3, 3) lie in same line