Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
Show that the locus of points such that two of the three normals drawn from them to the parabola
y
2
=
4
a
x
y^2 = 4ax
y
2
=
4
a
x
coincide is
27
a
y
2
=
4
(
x
−
2
a
)
3
27ay^2 = 4(x - 2a)^3
27
a
y
2
=
4
(
x
−
2
a
)
3
.
Browse the problem library