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f(x) = {{:(a tan^(-1) ((1)/(x-4)) " if "...

`f(x) = {{:(a tan^(-1) ((1)/(x-4)) " if " 0 le x lt 4),(btan^(-1) ((2)/(x-4)) " if " 4 lt x lt 6),(sin^(-1) (7-x) + 0 (pi)/(4)" if " 6 le x le 8):}`
and ` f(4) = pi //2` is continuous on [0,8] then (a,b) =

A

(1,1)

B

(1,-1)

C

(-1,1)

D

(-1,-1)

Text Solution

Verified by Experts

The correct Answer is:
C
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