HKCEE - 2009 - Paper 2

2009-II-41

Ans: A
Let

f (x) = x^{2009} + x^{2008} + \dots + x

. Hence, th

2009

2009-II-42

Ans: B
Let

S (n) = n^{2} + 2 n

. Then the 5th term of the sequence

$

2009

2009-II-43

Ans: A
Let

r

be the common ratio of the geometric sequence.

2009

2009-II-44

Ans: A
Consider

y = x - 9

. Note that the slope is

1

, which is

2009

2009-II-45

Ans: B
$\begin{array}{rcl}
\cos^2 x – \sin^2 x &

2009

2009-II-46

Ans: C
Consider

y = a \sin (x^{\circ} + θ)

.

For $a 1$ , $y=

2009

2009-II-47

Ans: B

Let $N$ be the mid-point of $H G$ . Then the angle betwee

2009

2009-II-48

Ans: B

Join $A D$ . Since $A B$ is a diameter of the circle $ABCD

2009

2009-II-49

Ans: C
Let

∠ C B D = x

. Since

A

,

B

,

C

and

D

are fou

2009

2009-II-50

Ans: C

Denote $O$ the centre of the circle. Add a perpendicul

2009

2009-II-51

Ans: B
Since

G

is the centroid of

Δ A B C

, then $BL = LC

2009

2009-II-52

Ans: D
Note that the three perpendicular bisectors of the th

2009

2009-II-53

Ans: C

Denote $C$ the centre of the circle. Let $D$ and $E$ be t

2009

2009-II-54

Ans: A
A is true. The percentage increase of the annual reven

2009