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Let a and b are real numbers such that t...

Let `a` and `b` are real numbers such that the function `f(x)={(-3ax^(2)-2, xlt1),(bx+a^(2),xge1):}` is differentiable of all `xepsilonR`, then

A

`a-b=7`

B

`ab=12`

C

`a+b=15`

D

`ab=-6`

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The correct Answer is:
A, D
For continuity `-3a-2=b+a^(2)`
for differentiability `-6a=b`
`impliesa^(2)-3a+2=0`
`impliesa=1,2`
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