Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
k
k
k
be an integer such that the triangle with vertices
(
k
,
−
3
k
)
(k, -3k)
(
k
,
−
3
k
)
,
(
5
,
k
)
(5, k)
(
5
,
k
)
and
(
−
k
,
2
)
(-k, 2)
(
−
k
,
2
)
has area 28 sq units. Then, the orthocentre of this triangle is at the point a.
(
2
,
1
2
)
\left(2, \frac{1}{2}\right)
(
2
,
2
1
)
b.
(
2
,
−
1
2
)
\left(2, -\frac{1}{2}\right)
(
2
,
−
2
1
)
c.
(
1
,
3
4
)
\left(1, \frac{3}{4}\right)
(
1
,
4
3
)
d.
(
1
,
−
3
4
)
\left(1, -\frac{3}{4}\right)
(
1
,
−
4
3
)
Browse the problem library