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From any point P on the parabola y^(2)=4...

From any point P on the parabola `y^(2)=4ax`, perpebdicular PN is drawn on the meeting it at N. Normal at P meets the axis in G. For what value/values of t, the point N divides SG internally in the ratio 1 : 3, where S is the focus ?

A

`sqrt ((3)/(5))`

B

`- sqrt((5)/(3))`

C

`- sqrt ((3)/(5))`

D

none of these

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The correct Answer is:
B
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