Q .     If `f` is a real-valued differentiable function on `R` (the set of all real numbers) with `f(1) = 41`. If the `y-`intercept of the tangent at any point `P(x, y)` on the curve `y = f(x)` is equal to the cube of the abscissa of `P,` then the value of `f (-3)` is equal to ....

JEE 2010
A

`12`

B

`9`

C

`3`

D

`2`

HINT

The equation of the tangent at `(x, y)` to the given curve `y = f(x)` is `y - y = (dy)/(dx) (X−x)`

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