Attractive problem

Equilateral triangles of sides 1,3,5,,2n11, 3, 5, …, 2n-1, are placed end-to-end along a straight line.

Show that the vertices which do not lie on the line all lie on a parabola and that their focal radii are all integers.

#Geometry #ConicSections #JEE #Focii

Note by U Z
6 years, 3 months ago

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1 vote

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Comments

That's so beautiful! Thanks for sharing :)

Shashwat Shukla - 6 years, 3 months ago

Hi Megh

Is the equation of the parabola : y2=3(x+14) y^{2} = 3(x+\frac{1}{4}) ?

A Former Brilliant Member - 6 years, 3 months ago

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Ok,then?

U Z - 6 years, 3 months ago

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Ok, I'll try posting a proof later on :)

A Former Brilliant Member - 6 years, 3 months ago
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