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A 10 inches long pencil AB with mid poin...

A 10 inches long pencil AB with mid pointC and a small eraser P are placed on the horizontal top of a table such that PC = `sqrt5` inches and `angle`PCB = `tan^ (- 1) (2)`. The acute angle through which the pencil must be rotated about C so that the perpendicular distance between eraser and pencil becomes exactly 1 inch is :

A

`tan^(-1) (1)`

B

`tan^(-1) (3/5)`

C

`tan^(-1) (4/3)`

D

`tan^(-1) (1/2)`

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