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Question

In ΔABC, circum radius is 3 and inradius is 1.5 units. If the value of a cot2A+b2cot3B+c3cot4C is mn (where m and n are prime numbers) then m+n2 is___


Solution

Here 2r=RΔABC is an equilateral
a=2R(32)=3R=33
m+n2=13+32=8
 

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