Let f and g be twice differentiable even functions on (-2,2) such that f(\frac{1}{4})=0, f(\frac{1}{2})=0, f(1)=1 and g(\frac{3}{4})=0, g(1)=2. Then, the minimum number of solutions of f(x) g^{' '}(x)+f^{'}(x) g^{'}(x)=0 in (-2,2) is equal to____ [29-Jun-2022-Shift-2]

JEE Main 29 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 26 of 90

Marks: +1, -0

Let f and g be twice differentiable even functions on (−2,2) such that f(‌

)=0,f(‌

)=0, f(1)=1 and g(‌

)=0,g(1)=2. Then, the minimum number of solutions of f(x)g′′(x)+f′(x)g′(x)=0 in (−2,2) is equal to____

[29-Jun-2022-Shift-2]

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