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AIEEE 2004 Math Solved Paper
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© examsnet.com
Question : 26
Total: 68
Intercept on the line
y
=
x
by the circle
x
2
+
y
2
−
2
x
=
0
is
AB
. Equation of the circle on
AB
as a diameter is
x
2
+
y
2
+
x
−
y
=
0
x
2
+
y
2
−
x
+
y
=
0
x
2
+
y
2
+
x
+
y
=
0
x
2
+
y
2
−
x
−
y
=
0
Validate
Solution:
Solving
y
=
x
and the circle
x
2
+
y
2
−
2
x
=
0
, we get
x
=
0
,
y
=
0
and
x
=
1
,
y
=
1
∴
Extremities of diameter of the required circle are
(
0
,
0
)
and
(
1
,
1
)
. Hence, the equation of circle is
(
x
−
0
)
(
x
−
1
)
+
(
y
−
0
)
(
y
−
1
)
=
0
⇒
x
2
+
y
2
−
x
−
y
=
0
© examsnet.com
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