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it would be easier for me if you tell me in which class you are studying so according to your grade I will try to solve this problem
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Step-by-step explanation:
According to the question,
AC and PQ intersect each other at the point O and AB||DC.
From ∆AOP and ∆COQ,
∠AOP = ∠COQ [Since they are vertically opposite angles]
∠APO = ∠CQO [since, AB||DC and PQ is transversal, the angles are alternate angles]
∴ ∆AOP ∼ ∆COQ [using AAA similarity criterion]
Then, since, corresponding sides are proportional
We have,
OA/OC = AP/CQ
OA × CQ = OC × AP
Hence Proved
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