Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If the line touches the circle and is normal to the circle
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
If the line
a
x
+
b
y
+
c
=
0
ax + by + c = 0
a
x
+
b
y
+
c
=
0
touches the circle
x
2
+
y
2
−
2
x
=
3
5
x^2 + y^2 - 2x = \frac{3}{5}
x
2
+
y
2
−
2
x
=
5
3
and is normal to the circle
x
2
+
y
2
+
2
x
−
4
y
+
1
=
0
x^2 + y^2 + 2x - 4y + 1 = 0
x
2
+
y
2
+
2
x
−
4
y
+
1
=
0
, then
(
a
,
b
)
(a, b)
(
a
,
b
)
are (1)
(
1
,
3
)
(1, 3)
(
1
,
3
)
(2)
(
3
,
1
)
(3, 1)
(
3
,
1
)
(3)
(
1
,
2
)
(1, 2)
(
1
,
2
)
(4)
(
2
,
1
)
(2, 1)
(
2
,
1
)
Related theory
Circles
Circle (Standard Equation)
Conic Sections
Equation of a Circle
Coordinate Geometry
Tangent to a Circle
Browse the problem library