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Standard IX
Mathematics
Circumcentre and Centroid of Equilateral Triangle
19. In triang...
Question
19. In triangle ABC, if y = x+1 & y = 2x + 3 are altitude through A & angle bisector of B respectively. If vertex C is ( 3 , 4 ) then equation of median through C is
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Q.
Let A, B, C be angles of triangle ABC with vertex A
(
4
−
1
)
and
x
−
1
=
0
and
x
−
y
−
1
=
0
are internal angle bisectors through B and C respectively. Let D, E, F be points of contact of sides bisector of A, B, C, then equation of circumcircle of triangle DEF is
Q.
In a triangle ABC if
A
=
(
1
,
2
)
and internal angle bisectors through
B
and
C
are
y
=
x
and
y
=
−
2
x
, then the inradius
r
of the
Δ
A
B
C
is
Q.
Three sides
A
B
,
B
C
and
C
A
of a triangle
A
B
C
are
5
x
−
3
y
+
2
=
0
,
x
−
3
y
−
2
=
0
and
x
+
y
−
6
=
0
respectively. Find the equation of the altitude through the vertex
A
.
.
Q.
In a
Δ
A
B
C
,
if
A
is
(
1
,
2
)
and equation of the medians through
B
and
C
are
x
+
y
=
5
and
x
=
4
respectively then
B
is :
Q.
Let
A
B
C
be a triangle with
A
(
−
3
,
1
)
and
∠
A
C
B
=
θ
,
0
<
θ
<
π
2
.
If the equation of the median through
B
is
2
x
+
y
−
3
=
0
and the equation of angle bisector of
C
is
7
x
−
4
y
−
1
=
0
,
then
tan
θ
is equal to
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Circumcentre and Centroid of Equilateral Triangle
Standard IX Mathematics
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