For the functions f(θ)=α tan²θ+β cot²θ and g(θ)=α sin²θ+β cos²θ, αβ0, let _ 0

Question

For the functions f(θ)=α tan²θ+β cot²θ and g(θ)=α sin²θ+β cos²θ, α>β>0, let _ 0< < /2 f( )= _ 0< < g( ). If the first term of a G.P. is (α/2β), its common ratio is (2β/α) and the sum of its first 10 terms is m/n, gcd(m,n)=1, then m+n is equal to _______.

Accepted Answer

1279

JEE Main 2026 Mathematics question

Solution

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