Question

(iii) (a, b), (-a,-b) find the distance between the following pairs of points​

Answer 1

Let A(a,b)≡(x

1

,y

1

) and B(−a,−b)≡(x

2

,y

2

) be the points of a straight line.

AB=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

AB=

(−a−a)

2

+(−b−b)

2

=

(−2a)

2

+(−2b)

2

=

4a

2

+4b

2

=2

a

2

+b

2

units.