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  • The angle between the focal chord and the normal passing through point P on the parabola y2 = 4ax is 60o. Then the slope of the tangent at point P is <div c

The angle between the focal chord and the normal passing through point P on the parabola y2 = 4ax is 60o. Then the slope of the tangent at point P is 

Option: 1

1


Option: 2

1/\sqrt 3


Option: 3

1/\sqrt 2


Option: 4

\sqrt 3


Answers (1)

best_answer

PS is focal chord and PN is normal

\\By\;property\\\mathrm{\;\;\;\;\;\;\;\;\;\;\;\;}SP=ST=SN\\given\; that\\\mathrm{\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\angle SPN =60^\circ\\\therefore \;\;\;\;\;\;\;\;\;\;\;\;\;\angle SPT =30^\circ\\\text{\;}since,\;\;ST=SP,\;\;\angle PTS =30^\circ\\\therefore slope\;of\;tangent=\tan 30^\circ=\frac{1}{\sqrt3}

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Divya Prakash Singh

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