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The function f(x) = (x^(2))/(a), if 0 le...

The function `f(x) = (x^(2))/(a)`, if `0 le x le 1`
=a, if `1 le x lt sqrt(2)`
`= (2b^(2) - 4b)/(x^(2))`, if `sqrt(2) le x lt oo`
is continuous for `0 le x lt oo`, then the most suitable values for 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

Text Solution

Verified by Experts

The correct Answer is:
C
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