The coordinate of a moving point p are (at2,2at) where t is a variable parameter. Find the eq to the locus p
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Let x=at^2
Or, t^2=x/a ......(1)
and y=2at
Or, t=y/2a .....(2)
from (1) and (2) we have
(y/2a)^2=x/a
Or, y^2/4a^2=x/a
Or, y^2=4ax
which is the required locus of p.
Or, t^2=x/a ......(1)
and y=2at
Or, t=y/2a .....(2)
from (1) and (2) we have
(y/2a)^2=x/a
Or, y^2/4a^2=x/a
Or, y^2=4ax
which is the required locus of p.
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