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Let S be the focus of y^2=4x and a point...

Let `S` be the focus of `y^2=4x` and a point `P` be moving on the curve such that its abscissa is increasing at the rate of 4 units/s. Then the rate of increase of the projection of `S P` on `x+y=1` when `P` is at (4, 4) is `sqrt(2)` (b) `-1` (c) `-sqrt(2)` (d) `-3/(sqrt(2))`

A

`-sqrt2`

B

`-3/sqrt2`

C

-1

D

`sqrt2`

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