given
parametric equation: x=cp
y=c/p;
P(cp,c/p)
Tangent to the curve yp^2+x=2cp

The perpendicular line from the origin meet the tangent at point T. Find the locus of T as p varies

Question

given 
parametric equation:  x=cp
y=c/p;
P(cp,c/p) 
Tangent to the curve yp^2+x=2cp

The perpendicular line from the origin meet the tangent at point T. Find the locus of T as p varies

anonymous · Answer

pls help

anonymous · Answer

i would if i could understand what this is asking

anonymous · Answer

lets make p a number, say 2

anonymous · Answer

actully 
at point P (x,y)=(cp,c/p) 
at point q (x,y)=(cq,c/q)

anonymous · Answer

oh what p is the parameter

anonymous · Answer

yaya...

anonymous · Answer

lets fix c at say 2 and see what this looks like

anonymous · Answer

anonymous · Answer

x=cp -----1
y=c/p
p=c/y-----2
subtitube 2 into 1
x=c(c/y)
xy=c^2

anonymous · Answer

ok.. it is a hyperbola

anonymous · Answer

actually i want to know the meaning of "perpendicular line from the origin meet the tangent at point T" what i know is like this|dw:1318340340418:dw|