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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

if a parabola whose length of latus rectum is 4a touches the coordinate axes the find the locus of its focus

Grade:upto college level

4 Answers

Sunil Raikwar
askIITians Faculty 45 Points
7 years ago
please check the attached file
Pranjal K
23 Points
7 years ago
sir there is no attached file....
sunil raikwar
10 Points
7 years ago
Hi Pranjal, There is slight technical issue. Please post these questions again in analytical Geometry. We will upload the answers for the same. askIITians Faculty
sunil raikwar
10 Points
7 years ago

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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