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JEE Main Math Class 11 Coordinate Geometry Part 4 Questions
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© examsnet.com
Question : 36
Total: 100
A circle
C
1
passes through the origin
O
and has diameter 4 on the positive
x
-axis. The line
y
=
2
x
gives a chord
OA
of circle
C
1
. Let
C
2
be the circle with
OA
as a diameter. If the tangent to
C
2
at the point
A
meets the
x
-axis at
P
and
y
-axis at
Q
, then
QA
:
AP
is equal to:
[27-Jul-2022-Shift-2]
1
:
4
1
:
5
2
:
5
1
:
3
Validate
Solution:
Equation of
C
1
x
2
+
y
2
−
4
x
=
0
Intersection with
y
=
2
x
x
2
+
4
x
2
−
4
x
=
0
5
x
2
−
4
x
=
0
⇒
x
=
0
,
4
5
y
=
0
,
8
5
A
:
(
4
5
,
8
5
)
Tangent of
C
2
at
A
(
4
5
,
8
5
)
x
+
2
y
=
4
⇒
P
:
(
4
,
0
)
,
Q
:
(
0
,
2
)
Q
A
:
A
P
=
1
:
4
© examsnet.com
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