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CBSE Class 10 Answered

pqrs is a parallelogram whise diagonals meet at o. Prove that circumcircles of triangle poq and triangle ros touch each other
Asked by rushabhjain.av | 23 Jan, 2019, 08:29: AM
answered-by-expert Expert Answer
Figure shows a parallelogram PQRS and its diagonal intersect at O.
Since the triangles POQ and SOR having common vertex O. It can be shown that ΔPOQ congruent to ΔSOR.
Circumcircles of ΔPOQ and ΔSOR are also congruent.
 Also side PQ of ΔPOQ is parallel to side SR of ΔSOR,

Due to the above conditions, circumcircles drawn for the triangles will meet only at O
Answered by Thiyagarajan K | 23 Jan, 2019, 01:10: PM

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