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Byju's Answer
Standard XII
Mathematics
Section Formula Using Complex Numbers
If O, G and...
Question
If
O
,
G
and
H
are the circumcentre, the centroid and the orthocentre of a triangle
A
B
C
, then
A
O
divides
G
H
in the ratio
1
:
2
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B
G
divides
O
H
in the ratio
1
:
2
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C
H
divides
i
n
the ratio
1
:
2
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D
O
divides
G
H
in the ratio
2
:
1
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Solution
The correct option is
B
G
divides
O
H
in the ratio
1
:
2
Centroid of
△
divides the line joining circumcentre and orthocentre in the ratio
1
:
2
.
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0
Similar questions
Q.
In general, circumcentre (C ), centroid
(G) and orthocentre (H) in any triangle are collinear. G divides H and C in the ratio:
Q.
Assertion :Statement 1: In
Δ
A
B
C
,
the centroid
(
G
)
divides the line joining orthocenter
(
H
)
and circucenter in ratio
2
:
1
. Reason: Statement 2: The centroid
(
G
)
divides the median
A
D
in ratio
2
:
1
.
Q.
O
(
0
,
0
)
,
A
(
1
,
1
)
,
B
(
0
,
3
)
are the vertices of
△
O
A
B
,
P
divides
O
B
in the ratio
1
:
2
,
Q
is the mid-point of
A
P
,
R
divides
A
B
in the ratio
2
:
1
.
If
α
(
Q
R
)
2
=
β
(
P
R
)
2
, then
Q.
In a triangle ABC, D divides BC in the ratio 3 : 2 and E divides CA in the ratio 1 : 3. The lines AD and BE meet at H and CH meets AB in F. Find the ratio in which F divides AB.
Q.
G is the centroid, S is the circumcenter, and O is the orthocenterof a triangle. O divides GS externally in the ratio of
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