triangle inscribed in a parabola

JEE Advanced 2015 Guidance › Co-ordinate Geometry questions › triangle inscribed in a parabola

All the three vertices of an equilateral triangle lie on the parabola y=x² and one of its sides has a slope of 2,then sum of x coordinates of the three vertices of triangle is ___

#Mathematics #Co-ordinate Geometry

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5 Answers

eureka123 ·2009-02-06 22:06:16

take 3 parametric points t1,t2,t3.....and then proceed...

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msp ·2009-02-06 22:10:44

please post ur soln da

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msp ·2009-02-08 08:18:35

pls ne 1 post ur ans i didnt get any ans

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Â°áƒ¦â€¢à¹“ÑÏ…Î ·2009-02-08 08:29:55

assume
d std cordinates like sumone metioned bove

then
use slpe formula
say i said d line joinin
at1^2,2at1 and at2^2 ,2at2 is 2
then
i get
t1+t2=1

then take slpoe of othr lines as m
n then tan@=mod(m-2/1+2m)

u'll get 2 m values frm here

then write d slope equation agin n try

really gtg ma's callin .......will post d whole sol l8tr

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msp ·2009-02-08 08:31:46

yes any other shortmethod.becos it is a straight objective type question da from momentum institute's practice paper

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triangle inscribed in a parabola

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