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Byju's Answer
Standard XII
Mathematics
Point Form of Tangent: Hyperbola
If the tangen...
Question
If the tangent to the conic,
y
−
6
=
x
2
at
(
2
,
10
)
touches the circle
x
2
+
y
2
+
8
x
−
2
y
=
k
(for some fixed k) at a point (a,... ); then (a,... ) is
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Solution
SOLVING EQUATION( 1) AND( 2) AFTER PUTTING VALUE OF K IN EQUATION (2)
WE GET POINTS OF TOUCH AS (-8/17 ,2/17);
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Similar questions
Q.
If the tangent to the conic,
y
–
6
=
x
2
at
(
2
,
10
)
touches the circle,
x
2
+
y
2
+
8
x
–
2
y
=
k
(for some fixed
(
k
)
at a point
(
α
,
β
)
; then
(
α
,
β
)
is :
Q.
If the tangent to a circle
x
2
+
y
2
=
5
at point
(
1
,
−
2
)
touches the circle
x
2
+
y
2
−
8
x
+
6
y
+
20
=
0
, then its point of contact is?
Q.
If tangent to the circle
x
2
+
y
2
=
5
at
(
1
,
−
2
)
also touches the circle
x
2
+
y
2
−
8
x
+
6
y
+
20
=
0
at point
(
h
,
k
)
,
then the value of
h
+
k
is
Q.
If tangent to the circle
x
2
+
y
2
=
5
at
(
1
,
−
2
)
also touches the circle
x
2
+
y
2
−
8
x
+
6
y
+
20
=
0
at point
(
h
,
k
)
,
then the value of
h
+
k
is
Q.
The tangent to the circle
x
2
+
y
2
=
5
at the point
(
1
,
−
2
)
also touches the circle
x
2
+
y
2
−
8
x
+
6
y
+
20
=
0
. Then its point of contact is
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Point Form of Tangent: Hyperbola
Standard XII Mathematics
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