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The centre of circle is O. AC and BD are...

The centre of circle is O. AC and BD are chords of circle which intersect at P. If `angleAOB=15^(@)` and `angleAPB=30^(@)` then`tan^(2)angleAPB+cot^(2)angleCOD` is-

A

`(1)/(3)`

B

`(2)/(3)`

C

`(4)/(3)`

D

`(10)/(3)`

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