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Question
In a plane there are two families of lines y=x+r,y=−x+r, where r∈{0,1,2,3,4}.The number of squares that can be formed from these family of lines such that its diagonal is of length 2 units is
In a plane there are two families of lines y=x+r,y=−x+r, where r∈{0,1,2,3,4}.The number of squares that can be formed from these family of lines such that its diagonal is of length 2 units is
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Solution
The correct option is A 9
There are two sets of five parallel lines at equal distances
Clearly lines like l1,l3 and m1,m3 form a square whose diagonal length is 2.
So,for required square lines are to be selected with spacing of one line between them.
∴ Number of required squares =3×3=9
There are two sets of five parallel lines at equal distances
Clearly lines like l1,l3 and m1,m3 form a square whose diagonal length is 2.So,for required square lines are to be selected with spacing of one line between them.
∴ Number of required squares =3×3=9
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