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Consider the curves y =| x -1| and | x |=2 What is/are the point(s) of intersection of the curves?

Options

  1. A(–2, 3) only
  2. B(2, 1) only
  3. C(–2, 3) and (2, 1)
  4. DNeither (–2, 3) nor (2, 1)

Correct answer

C. (–2, 3) and (2, 1)

Step-by-step solution

gathered y=|x-1| and |x|=2 y= cases x-1 & x 1 1-x & x 1 cases gathered aligned and x & =2 x & =-2 aligned Hence curves intersect at (-2,3) and (2,1) .

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