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if a parabola whose length of latus rectum is 4a touches the coordinate axes the find the locus of its focus
Let (h,k) be the focus of the hyperbola, since it touches the axis tangent at the vertex should be
and the equation of its directrix should be and the perpendicular distance
from direcrtrix to tangent at vertex is equal to a.
therefore
locus of focus is
Thanks Regards,
Sunil Raikwar,
askIITians faculty.
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