Test Index

JEE Advanced 2021 Paper 2

Question Stem for Question Nos. 47 and 48

Let f1:(0,∞)→ℝ and f2:(0,∞)→ℝ be defined by
f1(x)=

∫

∏j=121(t−j)jdt,x>0
and f2(x)=98(x−1)50−600(x−1)49+2450,x>0
where for any positive integer n and real numbers a1,a2,...,an, Πi=1nai denotes the product of a1,a2,...,an. Let mi and ni, respectively, denote the number of points of local minima and the number of points of local maxima of function fii=1,2, in the interval (0,∞)

Question : 47

Total: 57

The value of 2m1+3n1+m1n1 is_________.

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