Re: (geometric problem) Explain with the proper equation


ashisht4u@xxxxxxxxx wrote:
Hi,
We have a line L which is parallel to Y-axis at(d,0).
Now we have to plot point P which should be on the same distance from
the origin (0,0) and line L.

Give an equation which will satisfy the above condition.

(Note: there are more than one points which are on the same distance
from the origin (0,0) and line L)





Hi,
equation of line 'L' is "x - d = 0". let pt. P be (a,b)
x, dist. frm origin = sqrt(a^2 + b^2)
y, dist. frm line L = mod(a - d)
x=y,
x^2=y^2,
a^2 + b^2 = (a - d)^2
b^2 + 2ad = d^2 is the locus of pt. P and is a parabola

.

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