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A line from 1 vertex A …

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A line from 1 vertex A of an triangle ABC. Meets the opposite side BC in P and the circumcircle of triangle ABC in Q . If BQ= 4cm and CQ= 3cm then PQ is equal to?

Posted by Surbhi Golan 5 years ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years ago

∠BQA=∠BCA=60∘
∠CQA=∠CBA=60∘
∴QP is angle bisector of BC
∴BP:PC=4:3 (By angle bisector theorem)
Now △BPQ∼△APC
PQ/BQ = PC/AC
⇒ PQ/4 =3/7BC /BC

⇒PQ= 12/7

0Thank You

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CBSE > Class 10 > Mathematics