Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The point
S
S
S
divides the line joining
A
(
6
,
−
2
)
A(6,-2)
A
(
6
,
−
2
)
and
B
(
−
3
,
4
)
B(-3,4)
B
(
−
3
,
4
)
internally in the ratio
2
:
1
2:1
2
:
1
. For what positive value of
k
k
k
(with
k
>
2
k>2
k
>
2
) is the distance
S
C
SC
S
C
exactly
5
5
5
units, where
C
(
1
,
k
)
C(1,k)
C
(
1
,
k
)
? a)
4
4
4
b)
2
+
2
6
2+2\sqrt{6}
2
+
2
6
c)
21
\sqrt{21}
21
d)
2
+
6
2+\sqrt{6}
2
+
6
Browse the problem library