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Quantitative Aptitude
Triangles
25.If vertice...
Question
25.If vertices of a triangle ABC are A(0,0) B(1,0) and C(0,1) then prove that triangle ABC is right angled triangle. Also find the coordinates of its orthocentre.
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Similar questions
Q.
If a
△
A
B
C
has vertices
A
(
−
1
,
7
)
,
B
(
−
7
,
1
)
and
C
(
5
,
−
5
)
, then its orthocentre has coordinates:
Q.
The coordinates of
△
A
B
C
are
A
(
0
,
2
)
,
B
(
−
2
,
6
)
and
C
(
4
,
0
)
. Find the coordinates of the orthocentre of this triangle.
Q.
If vertices of
△
A
B
C
are
A
(
3
,
4
)
B
(
5
sin
t
,
5
c
o
s
t
)
and
C
(
5
cos
t
,
−
5
sin
t
)
, then find the locus of orthocentre of
△
A
B
C
.
Q.
If
x
,
y
,
z
are the distance of the vertices of
△
A
B
C
respectively from the orthocentre, then prove that
a
x
+
b
y
+
c
z
=
a
b
c
x
y
z
.
Q.
A triangle
A
B
C
with vertices
A
(
−
1
,
0
)
,
B
(
−
2
,
3
/
4
)
&
C
(
−
3
,
−
7
/
6
)
has its orthocentre
H
. Then the orthocentre of triangle
B
C
H
will be ?
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