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Paragraph: Let f(x)= x-|x|-x-|-x| ,-2 x 2 . (Where || denotes the fractional part function x) . Question: The number of solutions of the equation x^2+(f(x))^2=1 where -1 x 1

Options

  1. A0
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

Let y=f(x)= x-[x],-x-[-x] x^2+y^2=1 Required no of solutions =2

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