Question

find distance (a,b) (-1,-b)​

Answer 1

Step-by-step explanation:

Distance between two points (x

1

,y

1

) and (x

2

,y

2

) can be calculated

using the formula

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

(i) Distance between the points A(a+b,b−a) and B (a−b,a+b)

=

(a−b−a−b)

2

+(a+b−b+a)

2

=

4b

2

+4a

2

=2

a

2

+b

2

(ii) Distance between the points A(1,−1) and B (−

2

1

,

2

1

)

=

(−

2

1

−1)

2

+(

2

1

+1)

2

=

4

9

+

4

9

=

2

9

=3

2

1

=3

2

2

(iii) Distance between the points A(8,−2) and B (3,−6)

=

(3−8)

2

+(−6+2)

2

=

25+16

=

41

(iv) Distance between the points A(a+b,a−b) and B (a−b,−a−b)

=

(a−b−a−b)

2

+(−a−b−a+b)

2

=

4b

2

+4a

2

=2

a

2

+b

2