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Most Important Selected Qs for JEE AdvancedMathematicsContinuity and Differentiability

Consider f(x)= x^2-1 [|x|] , then: [Note: Where y denotes fractional part function and [y] denotes greatest integer function less than or equal to y .]

Options

  1. Anumber of points where f is discontinuous in [-2,2] is 4
  2. Bnumber of points where f is discontinuous in [-2,2] is 6
  3. Cnumber of solution(s) of the equation 2 f(x)=|x| is 5
  4. Dnumber of solution(s) of the equation 2 f(x)=|x| is more than 5

Correct answer

D. number of solution(s) of the equation 2 f(x)=|x| is more than 5

Step-by-step solution

f(x)= x^2-1 [|x|]= cases 0, & -1

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