Question

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

Solution

## Here 2r=R⇒ΔABC is an equilateral ⇒a=2R(√32)=√3R=3√3 ∴m+n2=13+32=8

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