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If f(x) = {(px + q, :x le 2),(x^2 - 5x +...

If `f(x) = {(px + q, :x le 2),(x^2 - 5x + 6, : 2 < x < 3),(ax^2 + bx + 1, : x ge 3):}`
is differentiable everywhere, then `|p| + |q| + |1/a| + |1/b|` is equal to

A

`(71)/(10)`

B

`(51)/(10)`

C

`(33)/(5)`

D

`(31)/(5)`

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The correct Answer is:
A
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