Let f be a real-valued differentiable ...

Let `f` be a real-valued differentiable function on `R` (the set of all real numbers)
such that `f(1)=1.` 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________

A

(a) `3`

B

(b) `6`

C

(c) `9`

D

(d) `0`

Verified by Experts

The correct Answer is:

C

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