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JEE Main20244 Apr 2024Morning ShiftMathematicsContinuity and DifferentiabilityActual

Let f: R R be a function given by f(x)= array ll 1- 2 x x^2 , & x 0 array . where , R . If f is continuous at x=0 , then ^2+ ^2 is equal to :

Options

  1. A3
  2. B12
  3. C48
  4. D6

Correct answer

B. 12

Step-by-step solution

aligned & f (0⁻ )= _ x 0⁻ 2 ^2 x x^2 =2= & f (0⁺ )= _ x 0⁺ 2 x 2 2 x 2 = 2 =2 & =2 2 & ^2+ ^2=4+8=12 aligned

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