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Question
In ∆ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm. Is PQ || AB?
Solution
Given: `AC=16cm,CP=10cm,CB=30cm` and `CQ=25cm`, we get
We will check whether `(CP)/(AC)=(CQ)/(BC)` or not to conclude whether `PQ||AB`.
`(CP)/(AC)=(10cm)/(16cm)=5/8`
`(CQ)/(CB)=(25cm)/(30cm)=5/6`
`∴ (CP)/(AC)≠ (CQ)/(CB)`
Hence, PQ is not parallel to AB.
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