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JEE Main202623 January 2026Evening ShiftMathematicsContinuity and DifferentiabilityActual

If f(x)= array cc a|x|+x²-2( |x|)( |x|) x &, x 0 b &, x=0 array . is continuous at x=0 , then a+b is equal to

Options

  1. A4
  2. B1
  3. C2
  4. D0

Correct answer

C. 2

Step-by-step solution

Note 2 |x| |x| = (2|x|) . For x > 0 : f(x) = a + x - 2x x x 0^+ a - 2 . For x For continuity: a - 2 = 2 - a a = 2 , and b = a - 2 = 0 . a + b = 2 .

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