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If f(x) = {(ax^(2)-b, ",", "when" 0 le x...

If `f(x) = {(ax^(2)-b, ",", "when" 0 le x le 1),(2, ",","when"x = 1),(x+1, ",","when"1 lt x le 2):}` is continuous at x = 1, then the most suitable values of a, b are

A

(a) `a = 2, b = 0`

B

(b) `a = 1, b = -1`

C

(c) `a = 4, b = 2`

D

(d) All of the above

Text Solution

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The correct Answer is:
D
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