(iii) (a, b), (-a,-b) find the distance between the following pairs of points About the author Ariana
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. Reply
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.