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Assertion (A) f(x)=|x-a|+|x-b| , is continuous on R Reason (R) |x- | x- is continuous at x R - . The correct option among the following is

Options

  1. A(A) is true, (R) is true and (R) is the correct explanation for A
  2. B( A ) is true, ( R ) is true but ( R ) is not the correct explanation for A
  3. C(A) is true but (R) is false
  4. D(A) is false but (R) is true

Correct answer

B. ( A ) is true, ( R ) is true but ( R ) is not the correct explanation for A

Step-by-step solution

The function f(x)=|x-a|+|x-b| is continuous on R . The function |x- | x- is continuous at x R -

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