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

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

14mn(m−1)(n−1)

12mn(m−1)(n−1)

14m2n2

none of these

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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)

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET