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Byju's Answer
Standard XII
Mathematics
Angle between Two Planes
34. Let ABC b...
Question
34. Let ABC be a triangle. Let A be the point (1,2), y=x is the perpendicular bisector of AB and x-2y+1=0 is the angle bisector of angle C. If the equation of BC is given by ax+by-5=0,then the value of a + b i
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Q.
Let
A
B
C
be triangle. Let
A
be the point
(
1
,
2
)
,
y
=
x
be the perpendicular bisector of
A
B
and
x
−
2
y
+
1
=
0
be the angle bisector of
∠
C
. If equation of
B
C
is given by
a
x
+
b
y
−
5
=
0
, then the value of
a
+
b
is
Q.
Let
A
B
C
be a triangle. Let
A
be the point
(
1
,
2
)
,
y
=
x
be the perpendicular bisector of
A
B
and
x
−
2
y
+
1
=
0
be the angle bisector of
∠
C. If equation of
B
C
is given by
a
x
+
b
y
−
5
=
0
,
then the value of
a
+
b
is
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
A
B
C
,
the bisectors of angles
B
and
C
lie along the lines
x
=
y
and
y
=
0
. If
A
is
(
1
,
2
)
,
then the equation of line
B
C
is
Q.
The equation of the perpendicular bisector of the sides
A
B
and
A
C
of a
△
A
B
C
are
x
−
y
+
5
=
0
and
x
+
2
y
=
0
,
respectively. If the point
A
is
(
1
,
−
2
)
then the equation of the line
B
C
is
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