1)In the given figure, PA is a common tangent and QB and PC are the tangents from Q and P to the
smaller and larger circle respectively.
if QB=5cm and PC=9 then evaluate the length of PQ

​2)Tangent segments PS and PT are drawn to a circle with centre O such as <SPT=120. Prove that OP=2PS

​3)The length of tangent PQ, from an external point P is 24 cm. If the distance of the point P from the centre is 25 cm, then find the diameter of the circle.​

Dear Student,

Please find below the link of the similar queries as asked by you :

https://www.meritnation.com/ask-answer/question/tangents-ps-and-pt-are-drawn-to-a-circle-with-centre-o-touch/math/3905946

https://www.meritnation.com/ask-answer/question/the-length-of-a-tangent-from-a-point-a-at-distance-5-cm-fro/circles/6294127

Hope this would clear your doubt !   

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