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Byju's Answer
Standard XII
Mathematics
Latus Rectum
If the circle...
Question
If the circle x2+y2-4x-8y+16=0 rolls up the †an gent to it at (2+\sqrt{3 },3) by 2 units (assumes x-axis as horizontal) , then the centre of the circle in the position i
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Similar questions
Q.
The circle
x
2
+
y
2
−
4
x
−
8
y
+
16
=
0
rolls up the tangent to it at
(
2
+
√
3
,
3
)
by
2
units, assuming the x-axis as horizontal, the equation of the circle in the new position is
Q.
Find the equation of tangent to the circle
x
2
+
y
2
−
4
x
−
8
y
+
16
=
0
at the point
(
2
+
√
3
,
3
)
. If the circle rolls up along this tangent by
2
units then find its equation in the new position.
Q.
If the circle
x
2
+
y
2
−
4
x
−
8
y
+
16
=
0
rolls up (away from
x
−
axis) along the tangent to it at
(
2
+
√
3
,
3
)
by
2
units and its equation in the new position is
x
2
+
y
2
+
2
a
x
+
2
b
y
+
c
=
0
,
then the value of
a
2
+
8
b
+
c
is equal to
Q.
The equation of the circle which is touched by
y
=
x
, has its centre on the positive direction of the
x
-axis and cuts off a chord of length
2
units along the line
√
3
y
−
x
=
0
, is
Q.
A circle is drawn with y-axis as a tangent and its centre at the point which is the reflection of (3, 4) in the line y = x. The equation of the circle is
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