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Byju's Answer
Standard XIII
Mathematics
Equation of Circle Whose Extremities of a Diameter Given
If one end of...
Question
If one end of a diameter of the circle
x
2
+
y
2
−
4
x
−
6
y
+
11
=
0
be (3, 4), then the other end is
A
(0, 0)
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B
(1, 1)
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C
(1, 2)
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D
(2, 1)
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Solution
The correct option is
C
(1, 2)
Centre is (2, 3). One end is (3, 4).
P
2
divides the join of
P
1
and O in ratio of 2 : 1.
Hence
P
2
i
s
(
4
−
3
2
−
1
,
6
−
4
2
−
1
)
≡
(
1
,
2
)
.
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Similar questions
Q.
If one end of a diameter of the circle
x
2
+
y
2
−
4
x
−
6
y
+
11
=
0
be (3, 4), then the other end is
Q.
If one end of a diameter of the circle
x
2
+
y
2
−
4
x
−
6
y
+
11
=
0
be (3, 4), then the other end is
Q.
If one end of a diameter of the circle
x
2
+
y
2
−
4
x
−
6
y
+
11
=
0
is
(
3
,
4
)
, then find the coordinate of the other end of the diameter.
Q.
If one end of a diameter of a circle is
x
2
+
y
2
−
4
x
−
6
y
+
11
=
0
is
(
3
,
4
)
then find the co-ordinates of the other end of the diameter.
Q.
If one end of a diameter of the circle
x
2
+
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2
−
4
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Equation of Circle Whose Extremities of a Diameter Given
Standard XIII Mathematics
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