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If f(x) = {(sin x, ",", "if" x le 0),(x^...

If `f(x) = {(sin x, ",", "if" x le 0),(x^(2)+a^(2), ",", "if" 0 lt x lt 1),(bx + 2, ",", "if" 1 le x le 2),(0, ",", "if" x gt 2):}` is continuous on R, then `a + b + ab = `

A

(a) `-2`

B

(b) `0`

C

(c) `2`

D

(d) `-1`

Text Solution

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The correct Answer is:
D
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