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Application of Derivatives question

2025 · 24 Jan · Shift 2 · Q28

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2025 · 24 Jan · Shift 2 · Q28

Application of Derivatives question

2025 · 24 Jan · Shift 2 · Q28

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

(2,3)

be the largest open interval in which the function

f(x)=2 \log _{\mathrm{e}}(x-2)-x^2+a x+1

is strictly increasing and (b, c) be the largest open interval, in which the function

\mathrm{g}(x)=(x-1)^3(x+2-\mathrm{a})^2

is strictly decreasing. Then

100(\mathrm{a}+\mathrm{b}-\mathrm{c})

is equal to :

A
360
B
420
C
160
D
280

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