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In figure A, B and C are points on OP...

In figure A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.

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In figure AB||PQ (given )
` Rightarrow " " ( OA)/(AP) = (OB)/(BQ)`
( basic proportonality theorem) ….(1)
Also in figure AC||PR (given)
` Rightarrow " " (OA)/(AP) = (OC)/(CR)` ( basic proportionality theorem) …. (2)
from equatlons ( 1) and (2) , we get
`(OB)/(BQ) = (OC)/(CR)`
BC||QR ( converse of basic proportionality theorem)
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