1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Tangent
If y = mx +...
Question
If
y
=
m
x
+
c
is the tangent to the circle
x
2
+
y
2
=
r
2
,
. then the coordinates of point of contact are
Open in App
Solution
I
f
y
=
m
x
+
c
i
n
t
a
n
g
e
n
t
t
o
c
i
r
c
l
e
x
2
+
y
2
=
r
2
T
h
e
n
,
p
o
i
n
t
o
f
c
o
n
t
a
c
t
i
s
(
−
r
2
m
c
,
r
2
c
)
Suggest Corrections
0
Similar questions
Q.
If the line
y
=
m
x
+
c
is tangent to the circle
x
2
+
y
2
=
5
r
2
and the parabola
y
2
−
4
x
−
2
y
+
4
λ
+
1
=
0
and point of contact of the tangent with the parabola is
(
8
,
5
)
,
then the value of
(
25
r
2
+
λ
+
2
m
+
c
)
is
Q.
If the line x + y = 5 is a tangent to the circle
x
2
+
y
2
−
2
x
−
4
y
+
3
=
0
, then the coordinates of the point of contact are
.
Q.
The line
y
−
m
x
+
c
intersect the circle
x
2
+
y
2
=
r
2
at two points if
Q.
The line
y
=
m
x
+
c
intersect the circle
x
2
+
y
2
=
r
2
at the two real distinct points if
Q.
If the line y = mx + c be a tangent to the circle
x
2
+
y
2
=
a
2
, then the point of contact is