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JEE Main20252 Apr 2025Evening ShiftMathematicsFunctionsActual

If the domain of the function f(x)= 1 10+3 x-x^2 + 1 x+|x| is (a, b) , then (1+a)^2+b^2 is equal to :

Options

  1. A26
  2. B29
  3. C25
  4. D30

Correct answer

A. 26

Step-by-step solution

x +| x | 0 x (0, ) ...(1) aligned & & 10+3 x-x^2 0 & x^2-3 x-10 0 aligned x (-2,5) ...(2) aligned & from (1) &(2) x (0,5) & a =0 & ~b =5 & (1+ a ^2 )+ b ^2=1+25=26 aligned

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