Let the line y=100 x-199 be intersect the graph of a function f(x)=x^{3}-6 x^{2}+a x-2 a+17, a \in R at three distinct points whose abscissae are x_{1}, x_{2} and x_{3} (x_{1}

JEE Advanced 2020 Concept Recapitulation Test 4 Paper 1

Question : 51 of 54

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Let the line y=100x−199 be intersect the graph of a function f(x)=x3−6x2+ax−2a+17,a∈R at three distinct points whose abscissae are x1,x2 and x3 (x1<x2<x3) such that x3−x1=6. If

∫

x1(f(x)−98x+198)dx=λ, then find the value of λ.

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