2015-II-22
Ans: A
I is true. Let $n$ be the number of sides of the regular p
… Read I is true. Let $n$ be the number of sides of the regular p
HKDSE-MATH - 2015
2015-II-23
Ans: C
… Read Let $A’$ be the image. Then the rectangular coo
2015-II-24
Ans: A
Note that there are two fixed points $A$ and $B$, and th
… Read Note that there are two fixed points $A$ and $B$, and th
2015-II-25
Ans: B
I is true. Since $L_1$ is on the left of the $y$-axis, th
… Read I is true. Since $L_1$ is on the left of the $y$-axis, th
2015-II-26
Ans: C
The radius of $C$
… Read The radius of $C$
$\begin{array}{cl}
= & 0-(-4)
2015-II-27
Ans: A
Note that the sample space is as follow:
… Read Note that the sample space is as follow:
$\begin{arra
2015-II-28
Ans: B
The required probability
… Read The required probability
$\begin{array}{cl}
=
2015-II-29
Ans: A
From the box-and-whisker diagram, the upper quartil
… Read From the box-and-whisker diagram, the upper quartil
2015-II-30
Ans: B
For $m=3$, the mean $p$
… Read For $m=3$, the mean $p$
$\begin{array}{cl}
= & \
2015-II-31
Ans: C
$\begin{array}{cl}
& \dfrac{1}{x^2 -2x +1} &#
… Read $\begin{array}{cl}
& \dfrac{1}{x^2 -2x +1} &#
2015-II-32
Ans: A
The equation of the straight line in the figure is
… Read The equation of the straight line in the figure is
$\be
2015-II-33
Ans: A
$\begin{array}{cl}
& 11 + 2^6 + 2^{10} + 2^{11} \
… Read $\begin{array}{cl}
& 11 + 2^6 + 2^{10} + 2^{11} \
2015-II-34
Ans: B
Since $\alpha$ and $\beta$ are the roots of the quadra
… Read Since $\alpha$ and $\beta$ are the roots of the quadra
2015-II-35
Ans: C
$\begin{array}{rcl}
z & = & (a+5)i^6 + (a-
… Read $\begin{array}{rcl}
z & = & (a+5)i^6 + (a-
2015-II-36
Ans: D
Note that the shaded region represents the solution o
… Read Note that the shaded region represents the solution o
2015-II-37
Ans: D
Let $a$ and $r$ be the first term and the common ratio of
… Read Let $a$ and $r$ be the first term and the common ratio of
2015-II-38
Ans: B
$\begin{array}{rcl}
\cos^2 x – \sin x & =
… Read $\begin{array}{rcl}
\cos^2 x – \sin x & =
2015-II-39
Ans: D
… Read By comparing the graphs of $y=\sin x^\circ$ and $y=\s
2015-II-40
Ans: C
Since $BD$ is a diameter of the circle, then we have
… Read Since $BD$ is a diameter of the circle, then we have
$\b
2015-II-41
Ans: B
$\left\{ \begin{array}{ll}
x^2 +y^2+2x-6y+k=0 �
… Read $\left\{ \begin{array}{ll}
x^2 +y^2+2x-6y+k=0 �