1997

JEE Main 1997 Mathematics question on Application of Derivatives

If f(x)=xsin⁡xf(x) = \dfrac{x}{\sin x} and g(x)=xtan⁡xg(x) = \dfrac{x}{\tan x}, where 0<x≤10 < x \leq 1, then in this interval
  1. A.
    both f(x)f(x) and g(x)g(x) are increasing functions
  2. B.
    both f(x)f(x) and g(x)g(x) are decreasing functions
  3. C.
    f(x)f(x) is an increasing function
  4. D.
    g(x)g(x) is an increasing function
Show answer

Correct option: B

[1997]

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