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JEE Main Mathematics Continuity and Differentiability 2026 JEE Main 2026 (23 January Shift 2)

JEE Main Mathematics Question (2026) — Solution

Question

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

Options

  1. A. 4
  2. B. 1
  3. C. 2
  4. D. 0

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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