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AP EAMCET202423 May 2024Morning ShiftMathematicsContinuity and DifferentiabilityActual

If f(x)= array cc a^2-a x+x^2 - x^2+a x+a^2 a+x - a-x , & x 0 K, & x=0 array . , is continuous at x=0 , then K=

Options

  1. A- a
  2. Ba
  3. C-1
  4. Da+ a

Correct answer

A. - a

Step-by-step solution

f(x) is continuous at x=0 _ x 0 f(x)=f(0) aligned & K= _ x 0 a^2-a x+x^2 - x^2+a x+a^2 a+x - a-x & K= _ x 0 2 x-a 2 a^2-a x+x^2 - 1 1 2 a+x + 1 2 x^2+a x+a^2 2 a-x & K= -a 2 a - a 2 a 1 2 a + 1 2 a K=- a . aligned

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