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Byju's Answer
Standard XII
Mathematics
Equation of Pair of Tangents: Hyperbola
If #160;the...
Question
I
f
t
h
e
tan
g
e
n
t
s
b
e
d
r
a
w
n
t
o
t
h
e
c
i
r
c
l
e
x
2
+
y
2
=
12
a
t
i
t
s
p
o
i
n
t
s
o
f
i
n
t
e
r
s
e
c
t
i
o
n
w
i
t
h
t
h
e
c
i
r
c
l
e
x
2
+
y
2
-
5
x
+
3
y
-
2
=
0
,
f
i
n
d
t
h
e
c
o
o
r
d
i
n
a
t
e
s
o
f
t
h
e
p
o
i
n
t
o
f
i
n
t
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s
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c
t
i
o
n
o
f
t
h
e
tan
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s
.
Open in App
Solution
Hi
,
x
2
+
y
2
=
12
and
x
2
+
y
2
-
5
x
+
3
y
-
2
=
0
now
equation
of
common
chord
is
S
1
-
S
2
=
0
5
x
-
3
y
+
2
-
12
=
0
5
x
-
3
y
-
10
=
0
,
,
,
,
1
let
this
line
meet
circle
S
1
and
S
2
at
A
and
B
.
Let
the
tangents
to
circle
S
1
at
A
and
B
meet
at
P
h
,
k
,
then
AB
will
be
chord
of
contact
of
the
tagents
to
the
circle
S
1
from
P
therefore
equation
AB
will
be
xh
+
yk
-
12
=
0
.
.
.
2
equation
1
and
2
are
same
so
,
h
5
=
k
-
3
=
12
10
h
=
6
and
k
=
-
3
.
6
so
coordinate
is
6
,
-
3
.
6
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0
Similar questions
Q.
If tangents be drawn to the circle
x
2
+
y
2
=
12
at its points of intersection with the circle
x
2
+
y
2
−
5
x
+
3
y
−
2
=
0
, find the co-ordinates of their point of intersection.
Q.
If the tangents be drawn to the circle
x
2
+
y
2
=
12
at its points of intersection with the circle
x
2
+
y
2
−
5
x
+
3
y
−
2
=
0
, then the tangents intersect at the point
Q.
Tangents are drawn to the circle
x
2
+
y
2
=
12
at the points where it is met by the circle
x
2
+
y
2
−
5
x
+
3
y
−
2
=
0
; find the point of intersection of these tangents.
Q.
If the tangents are drawn to the circle
x
2
+
y
2
=
12
at the point where it meets the circle
x
2
+
y
2
−
5
x
+
3
y
−
2
=
0
, then the point of intersection of these tangents is
Q.
Tangent are drawn to the circle
x
2
+
y
2
=
10
at the points where it is meet by the circle
x
2
+
y
2
+
4
x
−
3
y
+
2
=
0
The point of intersection of these tangent is
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Equation of Pair of Tangents: Hyperbola
Standard XII Mathematics
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