1
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Question

# One end of a diagonal of a square is (2,0) and its slope is 1. If the length of the side of a square is 2 units, then write all the possible coordinates of the other end.

A
(4,2)
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B
(0,2)
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C
(2,4)
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D
(2,0)
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Solution

## The correct option is A (4,2)Given One end of diagonal of square is (2,0) and slope is 1Let other end of diagonal is (x,y)then m=11=yx−2x−2=y----(1)The length of side of square is 2 hence By pythagoras theoram length of diagonal be √8√(x−2)2+y2=√8On squaring both sides (x−2)2+y2=8from eq (1)2y2=8y2=4y=±2=2,−2x=4,0Possible coordinates are (4,2) and (0,−2)

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