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The equation represents a circle
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
The equation
2
x
2
+
2
y
2
−
4
x
+
8
y
−
6
=
0
2x^2 + 2y^2 - 4x + 8y - 6 = 0
2
x
2
+
2
y
2
−
4
x
+
8
y
−
6
=
0
represents a circle. Determine the equation of the tangent to this circle at the point
(
3
,
0
)
(3,0)
(
3
,
0
)
. (a)
x
−
y
−
3
=
0
x - y - 3 = 0
x
−
y
−
3
=
0
(b)
x
+
y
−
3
=
0
x + y - 3 = 0
x
+
y
−
3
=
0
(c)
2
x
+
2
y
−
3
=
0
2x + 2y - 3 = 0
2
x
+
2
y
−
3
=
0
(d)
x
+
y
+
1
=
0
x + y + 1 = 0
x
+
y
+
1
=
0
Related theory
Circle (Standard Equation)
Conic Sections
Circles
Tangent to a Circle
Tangent length properties
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