Category Mathematics

Function: JEE MAIN 2024 Previous Year Questions Mathematics

Question Consider the function f : R→R defined by 𝑓(𝑥)=2𝑥/√(1+9𝑥^2 ). If the composition of  times 𝑓,⏟((𝑓𝑜𝑓𝑜𝑓𝑜…𝑜𝑓) )┬(10 𝑡𝑖𝑚𝑒𝑠) (𝑥) times 𝑓(𝑥)=(2^10 𝑥)/√(1+9〖𝛼𝑥〗^2 ), then the value of √(“3α+1” ) is equal to Solution Click Below for video solution. Click Here for More Questions Hello Students, Welcome to…

Trigonometry: JEE MAIN 2024 Previous Year Questions

Question Let S={sin^2⁡2θ: (sin^4⁡θ+cos^4⁡θ ) x^2+(sin⁡2θ )x+(sin^6⁡θ+cos^6⁡θ )=0  has real roots}. If α and β be the smallest and largest elements of the set S, respectively, then 3((α-2)^2+(β-1)^2 ) equals Solution Click Below for video solution. Click Here for More Questions Hello Students, Welcome to this blog!…

Integration-JEE MAIN 2024 Previous Year Questions

Question If ∫1▒cosec^5⁡𝑥 𝑑𝑥=𝛼 cot⁡〖𝑥 cosec⁡〖𝑥(cosec^2⁡〖𝑥+3/2〗 )+𝛽 log_𝑒⁡|tan⁡〖𝑥/2〗 | 〗+𝐶〗 where α,β∈R  and C is the constant of integration, then the value of 8(α+β) equals Solution Click Below for video solution. Click Here for More Questions Hello Students, Welcome to this blog! If you are preparing…