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Maths Question 24 – JEE-MAIN 2026

For the functions f(θ)=αtan2θ+βcot2θ, and g(θ)=αsin2θ+βcos2θ, α>β>0, let min0<θ<π2f(θ)=max0<θ<πg(θ). If the first term of a G.P. is (α2β), its common ratio is (2βα) and the sum of its first 10 terms is mn, gcd(m,n)=1, then m+n is equal to _______.
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