Question

12. ABCD is a parallelogram. Mis the mid-point
of AB and Pis a point on diagonal BD such that
BP = 1 BD. MP produced meets BC at N.

Prove that:
(i) N is a mid-point of BC.
(ii) MN = 1/2AC
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Answer 1

Answer:

ABCD is a parallelogram and E is a point on BC . If the diagonal BD intersects AE at F , prove that AF × FB = EF × FD