Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Line
L
L
L
passes through
A
(
2
,
−
3
)
A(2,\,-3)
A
(
2
,
−
3
)
and has slope
−
2
-2
−
2
. A point
C
C
C
lies on
L
L
L
such that the midpoint of
A
C
AC
A
C
lies on the line
x
+
2
y
=
4
x + 2y = 4
x
+
2
y
=
4
. Then
C
C
C
is a)
(
−
2
,
5
)
(-2,5)
(
−
2
,
5
)
b)
(
−
10
3
,
23
3
)
\left(-\dfrac{10}{3},\,\dfrac{23}{3}\right)
(
−
3
10
,
3
23
)
c)
(
−
10
3
,
−
23
3
)
\left(-\dfrac{10}{3},\,-\dfrac{23}{3}\right)
(
−
3
10
,
−
3
23
)
d)
(
−
2
3
,
7
3
)
\left(-\dfrac{2}{3},\,\dfrac{7}{3}\right)
(
−
3
2
,
3
7
)
Browse the problem library