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JEE Main2011MathematicsContinuity and DifferentiabilityActual

The value of p and q for which the function f(x)= array cl (p+1) x+ x x & x 0 array . is continuous for all x in R , is

Options

  1. Ap= 5 2 , q= 1 2
  2. Bp=- 3 2 , q= 1 2
  3. Cp= 1 2 , q= 3 2
  4. Dp= 1 2 , q=- 3 2

Correct answer

B. p=- 3 2 , q= 1 2

Step-by-step solution

_ x 0 (p+1)+ x x =q= _ x 0 x+x^2 - x x^ 3 / 2 _ x 0 (p+1) (p+1) x+ x=q= 1 2 p+1+1= 1 2 p=- 3 2 ; q= 1 2

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