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Grade: upto college level
        

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

5 years ago

Answers : (4)

Sunil Raikwar
askIITians Faculty
45 Points
							please check the attached file
						
5 years ago
Pranjal K
23 Points
							sir there is no attached file....
						
5 years ago
sunil raikwar
10 Points
							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
						
5 years ago
sunil raikwar
10 Points
							

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.

5 years ago
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