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Combination Based on Geometry

Consider the ...

Question

Consider the fourteen lines in a plane given by y = x + r, y = -x + r where r= 0,1,2,3,4,5,6 The number of squares formed by these lines whose diagonals are of length 2 is

A

9

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B

16

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C

25

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D

36

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Solution

The correct option is C 25
Required squares are $= (7 - 2)^{2} = 25$

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Q. Consider the fourteen lines in a plane given by y = x + r, y = -x + r where r= 0,1,2,3,4,5,6 The number of squares formed by these lines whose diagonals are of length 2 is

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