Math, asked by anitagirish1p8wqnw, 21 days ago

What is the answer


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Answered by agnesjenifer84
0

Answer:

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Answered by yadav0099
2

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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