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Question

In the given figure, LMN is tangent to the circle with centre O. If PMN = 60, find MOP.


A

30

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B

60

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C

90

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D

120

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Solution

The correct option is D

120


OMN = OMQ = 90
Radius and tangent are perpendicular to each other at the point of contact.

Therefore, OMP = 9060 = 30
OP = OM = Radius
Hence, OMP = OPM = 30

Therefore, MOP = 120.


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