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The tangent to the curve at touches the circle at
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
The tangent to the curve
y
=
x
2
+
6
y=x^2+6
y
=
x
2
+
6
at
(
1
,
7
)
(1,7)
(
1
,
7
)
touches the circle
x
2
+
y
2
+
16
x
+
12
y
+
c
=
0
x^2+y^2+16x+12y+c=0
x
2
+
y
2
+
16
x
+
12
y
+
c
=
0
at
Q
Q
Q
. The coordinates of
Q
Q
Q
are: (1)
(
−
6
,
−
11
)
(-6,-11)
(
−
6
,
−
11
)
(2)
(
−
9
,
−
13
)
(-9,-13)
(
−
9
,
−
13
)
(3)
(
−
10
,
−
15
)
(-10,-15)
(
−
10
,
−
15
)
(4)
(
−
6
,
−
7
)
(-6,-7)
(
−
6
,
−
7
)
Related theory
Differentiation Rules
Circles
Tangents and Normals
Tangent to a circle
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