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A tangent drawn to the curve y = f(x) at P(x, y) cuts the x and y axes at A and B, respectively, such that AP : PB = 1 : 3. If f(1) = 1 then the curve passes through `(k,(1)/(8))` where k is

A

`((1)/(3), 24)`

B

`((1)/(2), 4)`

C

`(2, (1)/(8))`

D

`(3, (1)/(28))`

Text Solution

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The correct Answer is:
C
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