Question

With the help of distance formula , show that the points P ( a , b + c ) , Q ( b , c + a ) and R (c , a + b ) are collinear points​

Answer 1

Answer:

Mark as brainleist

Step-by-step explanation:

P(a,b+c)=(x

1

,y

1

)

Q=(b,c+a)=(x

1

,y

2

)

R=(c,a+b)=(x

3

,y

3

)

m

pq

=slopeofPQ=

x

2

−x

1

y

2

−y

1

=

b−a

c+a−b−c

=

−(a−b)

a−b

=−1

m

QR=

slopeofQR=

x

3

−x

2

y

3

−y

2

=

c−b

a+b−c−a

=

−(b−c)

b−c

=−1

SlopeofPQ=SlopeofQRso,pointsA,B,Carecollinear.