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Question

The distance between the points (x1,y1) and (x2,y2) is ___ units.


A

(x2x1)2+(y2y1)2

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B

(x2+x1)2+(y2y1)2

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C

(x2x1)2+(y2y1)2

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D

(x2+x1)2+(y2+y1)2

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Solution

The correct option is D

(x2+x1)2+(y2+y1)2


The distance between two
points (x1,y1) and (x2,y2)
is given by
(x2x1)2+(y2y1)2.

Thus, the distance
between (x1,y1) and (x2,y2)
will be
(x2x1)2+(y2(y1))2 =(x2+x1)2+(y2+y1)2

[because (x2x1)2=(x2+x1)2]


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