Cambridge International Examinations


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9709 m18 qp 12

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18
11
x
y
O
B
A
1
2
, 0

= 1
− 2x
= 1
− 2− 1 − 2x
3
The diagram shows part of the curve
y
= 1 − 2
x
− 1 − 2
x

3
intersecting the
x
-axis at the origin
O
and
at
A

1
2
, 0

. The line
AB
intersects the
y
-axis at
B
and has equation
y
= 1 − 2
x
.
(i) Show that
AB
is the tangent to the curve at
A
.
[4]
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© UCLES 2018
9709/12/F/M/18



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