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For the circle
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
For the circle
x
2
+
y
2
=
r
2
x^2 + y^2 = r^2
x
2
+
y
2
=
r
2
, which of the following represents the equation of the tangent at a point
(
x
1
,
y
1
)
(x_1, y_1)
(
x
1
,
y
1
)
that lies on the circle? (a)
(
x
−
x
1
)
2
+
(
y
−
y
1
)
2
=
r
2
(x - x_1)^2 + (y - y_1)^2 = r^2
(
x
−
x
1
)
2
+
(
y
−
y
1
)
2
=
r
2
(b)
x
x
1
+
y
y
1
=
0
x x_1 + y y_1 = 0
x
x
1
+
y
y
1
=
0
(c)
x
x
1
+
y
y
1
=
r
2
x x_1 + y y_1 = r^2
x
x
1
+
y
y
1
=
r
2
(d)
x
1
2
+
y
1
2
=
r
2
x_1^2 + y_1^2 = r^2
x
1
2
+
y
1
2
=
r
2
Related theory
Circle (Standard Equation)
Conic Sections
Circles
Equation of a Circle
Coordinate Geometry
Tangent to a Circle
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