Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The locus of the foot of perpendicular drawn from the centre of the ellipse
x
2
+
3
y
2
=
6
x^2 + 3y^2 = 6
x
2
+
3
y
2
=
6
on any tangent to it is a.
(
x
2
+
y
2
)
2
=
6
x
2
+
2
y
2
(x^2 + y^2)^2 = 6x^2 + 2y^2
(
x
2
+
y
2
)
2
=
6
x
2
+
2
y
2
b.
(
x
2
+
y
2
)
2
=
6
x
2
−
2
y
2
(x^2 + y^2)^2 = 6x^2 - 2y^2
(
x
2
+
y
2
)
2
=
6
x
2
−
2
y
2
c.
(
x
2
−
y
2
)
2
=
6
x
2
+
2
y
2
(x^2 - y^2)^2 = 6x^2 + 2y^2
(
x
2
−
y
2
)
2
=
6
x
2
+
2
y
2
d.
(
x
2
−
y
2
)
2
=
6
x
2
−
2
y
2
(x^2 - y^2)^2 = 6x^2 - 2y^2
(
x
2
−
y
2
)
2
=
6
x
2
−
2
y
2
Browse the problem library