Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The number of values of
θ
∈
[
0
,
2
π
]
\theta \in [0, 2\pi]
θ
∈
[
0
,
2
π
]
for which the line
2
x
cos
θ
+
3
y
sin
θ
=
6
2x \cos \theta + 3y \sin \theta = 6
2
x
cos
θ
+
3
y
sin
θ
=
6
touches the ellipse
4
x
2
+
9
y
2
=
36
4x^2 + 9y^2 = 36
4
x
2
+
9
y
2
=
36
is a. 1 b. 2 c. 4 d. infinite
Browse the problem library