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

Let ` a , b, in R , (a ne 0) ` . If the function defined as
` f(x) ={{:((2x^(2))/(a) , 0 le x lt 1),(a , 1 le x lt sqrt(2)),((2b^(2 ) - 4b)/(x^(3) ), sqrt(2) le x lt oo):}` is continuous in the interval ` [0 ,oo)`, then an ordered pair (a,b) is :

A

`(- sqrt(2), 1- sqrt(3))`

B

`(sqrt(2, -1 + sqrt(3))`

C

`(sqrt(2), 1 - sqrt(3))`

D

`(-sqrt(2), 1 + sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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