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Mathematics
Mathematics
Problem
In quadrilateral
A
B
C
D
ABCD
A
B
C
D
, diagonals
A
C
AC
A
C
and
B
D
BD
B
D
intersect at
O
O
O
. If
A
O
=
4
x
−
3
AO = 4x - 3
A
O
=
4
x
−
3
,
O
C
=
x
+
9
OC = x + 9
O
C
=
x
+
9
,
B
O
=
2
y
+
1
BO = 2y + 1
B
O
=
2
y
+
1
and
D
O
=
5
y
−
11
DO = 5y - 11
D
O
=
5
y
−
11
(all in centimetres), which pair of values of
x
x
x
and
y
y
y
makes
A
B
C
D
ABCD
A
B
C
D
a parallelogram? a)
x
=
3
,
y
=
4
x = 3,\; y = 4
x
=
3
,
y
=
4
b)
x
=
4
,
y
=
6
x = 4,\; y = 6
x
=
4
,
y
=
6
c)
x
=
4
,
y
=
4
x = 4,\; y = 4
x
=
4
,
y
=
4
d)
x
=
4
,
y
=
3
x = 4,\; y = 3
x
=
4
,
y
=
3
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