Answer :
LHL = 
= 
= 
= a - b
RHL = 
= 
= 
= 1
Since, f(x) is continuous ,so
LHL = RHL
a - b = 1 - - - - (i)
(LHD at x = 1) = 
= 
= 
= 
Using equation (i)
= 
= 
= 
2a
(RHD at x = 1) = 
= 
= 
= 
= 
= - 1
Since f(x) is differentiable at x = 1,
(LHD at x = 1) = (RHD at x = 1)
2a = - 1
a = 
put a = 
in equation (i),
a - b = 1
- b = 1
b = 
b = 
a = 
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