Answer :

In OAB & OLM

LM||AB

…(1) |By Basic Proportionality Theorem(BPT)

In ΔOMN & ΔOBC,

MN||BC

…(2) |By BPT

From (1)&(2)

…(3)

In ΔOLN & ΔOAC

⇒ LN||AC by Converse of BPT

Hence, proved.

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