Consider , . For , if then number of integral values of…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider f(x)=cos⁡2x+2xλ2+(2λ+1)(λ−1)x2f(x)=\cos 2x+2x\lambda^2+(2\lambda+1)(\lambda-1)x^2, λ∈R\lambda\in R. For λ=1\lambda=1, if f(3x2−2x+1)<f(x2−2x+9)f(3x^2-2x+1)<f(x^2-2x+9) then number of integral values of xx in [−10,10][-10,10] (a) 3 (b) 5 (c) 16 (d) 18

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