Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • 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}

Posted by

Divya Prakash Singh

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Mains 2026 Registration LIVE: NTA JEE session 1 application, exam dates soon; city choice available
anam-khan

JEE Main 2026 exam city option not removed: NTA dismisses viral claim
anam-khan

JEE Main, NEET, CUET 2026: Claim on removal of exam city goes viral; what we know so far

Latest Question