2012-II-22
Ans: A
I is true. Note that the sum of all exterior angles of al
… Read I is true. Note that the sum of all exterior angles of al
HKDSE-MATH - 2012
2012-II-23
Ans: D
Let $\theta$ be the acute angle between $PO$ and the ne
… Read Let $\theta$ be the acute angle between $PO$ and the ne
2012-II-24
Ans: A
The locus of $P$ is a circle with centre $(20,12)$ and r
… Read The locus of $P$ is a circle with centre $(20,12)$ and r
2012-II-25
Ans: C
Rewrite the equations of $L_1$ and $L_2$ as $L_1:~ y=-
… Read Rewrite the equations of $L_1$ and $L_2$ as $L_1:~ y=-
2012-II-26
Ans: A
Note that $-h$ denotes the perpendicular distance be
… Read Note that $-h$ denotes the perpendicular distance be
2012-II-27
Ans: A
The required probability
… Read The required probability
$\begin{array}{cl}
=
2012-II-28
Ans: B
The required probability
… Read The required probability
$\begin{array}{cl}
=
2012-II-29
Ans: B
The mean $\overline{x}$
… Read The mean $\overline{x}$
$\begin{array}{cl}
= &
2012-II-30
Ans: D
I is true. Note that there are $11$ data. Then the media
… Read I is true. Note that there are $11$ data. Then the media
2012-II-31
Ans: B
Let $2^pa^qb^rc^s$ be the third expression.
… Read Let $2^pa^qb^rc^s$ be the third expression.
$\begin
2012-II-32
Ans: C
$\begin{array}{rcl}
y & = & mn^x \\
\log_3
… Read $\begin{array}{rcl}
y & = & mn^x \\
\log_3
2012-II-33
Ans: A
$\begin{array}{cl}
& \mbox{AD}0~000~002~01
… Read $\begin{array}{cl}
& \mbox{AD}0~000~002~01
2012-II-34
Ans: C
A may not be true. The function $f(x)=\dfrac{1}{2}(x
… Read A may not be true. The function $f(x)=\dfrac{1}{2}(x
2012-II-35
Ans: A
$\begin{array}{cl}
& i^3(\beta i-3) \\
= &
… Read $\begin{array}{cl}
& i^3(\beta i-3) \\
= &
2012-II-36
Ans: D
Note that the shaded region represents the solution o
… Read Note that the shaded region represents the solution o
2012-II-37
Ans: A
Let $a$ and $d$ be the first term and the common differe
… Read Let $a$ and $d$ be the first term and the common differe
2012-II-38
Ans: C
Consider the general case $y=f(x+h)+k$.
… Read Consider the general case $y=f(x+h)+k$.
If $h$ is pos
2012-II-39
Ans: D
Consider the general case $y=a\cos(hx)+k$.
… Read Consider the general case $y=a\cos(hx)+k$.
If $k$ is
2012-II-40
Ans: D
Let $x$ be the length of each sides of the tetrahedron.
… Read Let $x$ be the length of each sides of the tetrahedron.
2012-II-41
Ans: C
… Read Join $OB$.
$\begin{array}{rcl}
\angle BOQ & = &