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Q is a chord of length 8cm of a circle of radius 5cm. The tangents at P and Q intersect at a point T. find the lengths of TP and TQ

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Since the length of tangents from external point are equal. Therefore, TQ=TP=20/3

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draw the rough figure
let angle PTO=x
where O is the centre
join PT let it intersects PQ at M
angle MPO=x
cotx= PT/PO= 4/3
PT=4/3*5
TP=20/3=TQ
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