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Let f(x) = [{:((x^(2))/(a),0 le x lt 1),...

Let `f(x) = [{:((x^(2))/(a),0 le x lt 1),(a,1 le x lt sqrt(2)),((2b^(2) - 4b)/(x^(2)),sqrt(2) le x):}` be continuous in `[0, oo)`, then the most suitable values of a and b are :

A

a = -1, b = 1

B

a = -1, b = 1 + `sqrt(2)`

C

a = 1, b = -1

D

None of these

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The correct Answer is:
A
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