Q.

If m parallel lines in a plane are intersected by a family of n parallel lines, the number of parallelograms that can be formed is

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a

14mn(m−1)(n−1)

b

12mn(m−1)(n−1)

c

14m2n2

d

none of these

answer is A.

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Detailed Solution

The number of selection of two parallel lines from la lines is  mC2.The number of selection of two parallel lines from n lines is  nC2.Hence, the number of parallelograms is mC2×nC2=14mn(m−1)(n−1)
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