Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The curves
x
2
+
y
2
=
10
x^{2}+y^{2}=10
x
2
+
y
2
=
10
and
x
y
=
5
xy=5
x
y
=
5
intersect once in the first quadrant. The equation of their common tangent at that point is a)
x
+
y
=
2
5
x+y=2\sqrt{5}
x
+
y
=
2
5
b)
x
+
y
=
10
x+y=\sqrt{10}
x
+
y
=
10
c)
x
−
y
=
5
x-y=\sqrt{5}
x
−
y
=
5
d)
y
=
x
y=x
y
=
x
Browse the problem library