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Mathematics
Mathematics
Problem
Let the ellipse
3
x
2
+
p
y
2
=
4
3x^2 + py^2 = 4
3
x
2
+
p
y
2
=
4
pass through the centre
C
C
C
of the circle
x
2
+
y
2
−
2
x
−
4
y
−
11
=
0
x^2 + y^2 - 2x - 4y - 11 = 0
x
2
+
y
2
−
2
x
−
4
y
−
11
=
0
of radius
r
r
r
. Let
f
1
,
f
2
f_1, f_2
f
1
,
f
2
be the focal distances of the point
C
C
C
on the ellipse. Then
6
f
1
f
2
−
r
6f_1f_2 - r
6
f
1
f
2
−
r
is equal to.
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