Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Through a fixed point
(
h
,
k
)
(h, k)
(
h
,
k
)
, secants are drawn to the circle
x
2
+
y
2
=
r
2
x^2 + y^2 = r^2
x
2
+
y
2
=
r
2
. Show that the locus of mid-point of the portions of secants intercepted by the circle is
x
2
+
y
2
=
h
x
+
k
y
x^2 + y^2 = hx + ky
x
2
+
y
2
=
h
x
+
k
y
.
Browse the problem library