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Most Important Selected Qs for JEE AdvancedMathematicsFunctions

Let f(x) is non-negative function defined for x 1 such that f^ (x) m f(x) holds everywhere in the domain for some positive real number m . If f(1)=0 then:

Options

  1. Af(x) is neither odd nor even.
  2. B_ x 2 (5+f(x)+x^2-4 x )^ e^2 e^x-e^2(x-1) is equal to e^2 .
  3. CNumber of solutions of the equation f(x)=e^x-x^2 is 1 .
  4. D_ f(e)-1 ^ f (e^2 )+1 d x 2^x+1 is equal to 1 2 .

Correct answer

B. _ x 2 (5+f(x)+x^2-4 x )^ e^2 e^x-e^2(x-1) is equal to e^2 .

Step-by-step solution

f(x)=0 x 1 (a) is true because domain of f(x) is x 1 . (c) is false because domain of f(x) is x 1 .

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