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Let a , b in R,(a in 0). If the funtion ...

Let `a , b in R,(a in 0)`. If the funtion f defined as
`f(x)={{:(,(2x^(2))/(a),0 le x lt 1),(,a,1 le x lt sqrt2),(,(2b^(2)-4b)/(x^(3)),sqrt2lt x lt oo):}` is a continous in `[0,oo)`. Then, (a,b)=

A

`(-sqrt2,1-sqrt3)`

B

`(sqrt2,1+sqrt3)`

C

`(sqrt2,1-sqrt3)`

D

`(-sqrt2,1+sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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