the normal at the point P ( aP^2 , 2aP ) meets the parabola y^2 = 4ax again at Q ( aQ^2 ,2aQ ), such that the line joining the origin to P and Q are at the right angle. then find the value of P^2
now, slopes of two lines joinning origin to P , Q are
2/P and 2/Q resp.
since these r perpendicular so , 2/P.2/Q = -1 ----(2)
from (1) and (2) P^2 = 2 ..
my future signature:
LOKESH SARDANA,
department of Production and Industrial engineering,
Indian Institute of Technology,Roorkee.
Happiness can be found, even in the darkest of times, if one only remembers to turn on the light.
Albus Dumbledore
Harry Potter and the Prisoner of Azkaban movie
There are only two ways to live your life. One is as though nothing is a miracle. The other is as though everything is a miracle.
-- Albert Einstein
Moderation Team
![[Post New]](/templates/default/images/icon_minipost_new.gif){kind=icon}
![[Up]](/templates/default/images/icon_up.gif "[Up]"){kind=icon}
147
1
