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The parallelogram is cut by two sets of ...

The parallelogram is cut by two sets of m lines parallel to its sides. The numbers parallelogram thus formed, is

A

`(m^(2))/4`

B

`((m+1)^(2))/4`

C

`((m+2)^(2))/4`

D

`((m+2)^(2)(m+1)^(2))/4`

Text Solution

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The correct Answer is:
d
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Assertion: If m parallel lines are intersected by n other parallel llines, then the number of parallelograms thus formes is (mn(m-1)(n-1))/4 , Reason: A selection of 4 lines 2 form m parallel lines and 2 from n parallel lines givers one parallelogram. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

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