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PA and PB are tangents to a circle S tou...

PA and PB are tangents to a circle S touching it at points A and B. C is a point on S in between A and B as shown in the figure. LCM is a tangent to S intersecting PA and PB in S at points L and M, respectively. Then the perimeter of the triangle PLM depends on o

A

A,B,C and P

B

P but not on C

C

P and C only

D

the radius of S only

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The correct Answer is:
B

Perimeter of `DeltaPLM = PL +LC +CM +MP`
`PL +LA +BM +MP`
`=PA +PB`.
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