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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
3
/
a
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
20
/
c
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
20
/
b
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
20
/
a
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
2
/
Solution
2026-10-18
View more
Complete the
squares
in the two coordinates:
(
x
−
2
)
2
−
4
+
4
(
y
−
1
)
2
−
4
=
−
4
,
4
(
x
−
2
)
2
+
(
y
−
1
)
2
=
1.
(1)
This standard
equation
of an
ellipse
is symmetric about
x
=
2
and
y
=
1
. Its centre is therefore
(
2
,
1
)
.
(2)
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
19
/
b
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
19
/
a
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
18
/
b
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
18
/
a
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
17
/
c
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
17
/
b
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
17
/
a
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
16
/
d
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
16
/
c
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
16
/
b
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
16
/
a
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
15
/
b
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
15
/
a
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
14
/
b
2026-10-18
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2019
/
Paper 1
/
14
/
a
2026-10-18
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