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The equation of chord of the circle
MATHEMATICS · Single correct · ICSE · Mathematics · Geometry · Geometry
Problem
The equation of chord
A
B
AB
A
B
of the circle
x
2
+
y
2
=
2
x^2+y^2=2
x
2
+
y
2
=
2
, passing through
P
(
2
,
2
)
P(2,2)
P
(
2
,
2
)
such that
P
B
P
A
=
3
\frac{PB}{PA}=3
P
A
P
B
=
3
, is given by (1)
x
=
3
y
x=3y
x
=
3
y
(2)
x
=
y
x=y
x
=
y
(3)
y
−
2
=
3
(
x
−
2
)
y-2=\sqrt{3}(x-2)
y
−
2
=
3
(
x
−
2
)
(4)
y
−
3
=
3
(
x
−
1
)
y-3=\sqrt{3}(x-1)
y
−
3
=
3
(
x
−
1
)
Related theory
Circle (Standard Equation)
Conic Sections
Power of a point
Circles
Equation of a circle
Coordinate Geometry
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