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Byju's Answer
Standard XII
Mathematics
Radical Axis
For a circle ...
Question
For a circle
x
2
+
y
2
=
81
, what is the equation of chord whose mid-point is
(
−
2
,
3
)
?
A
2
x
−
3
y
+
13
=
0
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B
3
x
−
2
y
+
13
=
0
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C
2
x
−
3
y
−
13
=
0
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D
2
x
+
3
y
+
13
=
0
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Solution
The correct option is
A
2
x
−
3
y
+
13
=
0
∵
Equation of the required chord is
T
=
S
′
∴
−
2
x
+
3
y
−
9
=
4
+
9
−
9
⇒
−
2
x
+
3
y
=
4
+
9
⇒
2
x
−
3
y
+
13
=
0
.
Suggest Corrections
0
Similar questions
Q.
For a circle
x
2
+
y
2
=
81
,
what is the equation of chord whose mid point is
(
–
2
,
3
)
Q.
The equation of the chord of the circle
x
2
+
y
2
=
r
2
passing through
(
2
,
3
)
and farthest from the centre is
Q.
Which of the following is a point on the common chord of the circle
x
2
+
y
2
+
2
x
−
3
y
+
6
=
0
and
x
2
+
y
2
+
x
−
8
y
−
13
=
0
Q.
Solve the following systems of equations graphically:
2
x
−
3
y
+
13
=
0
3
x
−
2
y
+
12
=
0
Q.
The equation of the circle whose diameter is the common chord of the circles
x
2
+
y
2
+
2
x
+
3
y
+
2
=
0
,
x
2
+
y
2
+
2
x
−
3
y
−
4
=
0
is
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