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f : R -> R is one-one, onto and differen...

`f : R -> R` is one-one, onto and differentiable and graph of y = f (x) is symmetrical about the point (4, 0), then
a. `f^(-1)(2010) + f^(-1) (-2010) = 8`
b. `int_(-2010)^(2018) f(x) dx = 0`
c. if `f'(-100) gt 0`, then roots of `x^(2) - f'(10) x - f'(10) = 0` may be non-real
d. if `f'(10) = 20`, then f'(-2) = 20

A

`f^(-1)(2010) + f^(-1) (-2010) = 8`

B

`int_(-2010)^(2018) f(x) dx = 0`

C

if `f'(-100) gt 0`, then roots of `x^(2) - f'(10) x - f'(10) = 0` may be non-real

D

if `f'(10) = 20`, then f'(-2) = 20

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A, B, D
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