2023-II-42
Ans: B
… Read The required number
$\begin{array}{cl}
= & C^{
HKDSE-MATH - 2023 - Paper 2 -
2023-II-43
Ans: C
… Read The required probability
$\begin{array}{cl}
=
2023-II-44
Ans: D
… Read Let $\mu$ and $\sigma$ be the mean and the standard dev
2023-II-45
Ans: A
… Read I must be true. If we add $9n$ to each of the data of the gr
2023-M2-01
Ans: $a=\dfrac{-2}{9}$, the coefficient of $x^2=-248$
… Read $\
2023-M2-02
Ans: (b) $-1$
… Read -
$\begin{array}{cl}
& f\left(\dfrac{\
2023-M2-03
Ans: (a) $p=4$, $q=1$ (b) $\pi+\dfrac{3}{2}\ln 2$
… Read -
$\begin
2023-M2-04
Ans: (b) $\dfrac{8\pi}{9}$ or $\dfrac{10\pi}{9}$
… Read -
$\begi
2023-M2-05
Ans: (c) Yes
… Read -
$\begin{array}{rcl}
A^2 +A+I & = & 0
2023-M2-06
Ans: (b) $\dfrac{1}{21\pi}$
… Read - The required volume
$\begin{
2023-M2-07
Ans: (a) $y=3\sqrt{4-x^2}+k\sin^{-1}\dfrac{x}{2} -6$ (
… Read 2023-M2-08
Ans: (b) $a=\dfrac{1}{2}$, $b=\dfrac{2}{11}$
… Read - Let $P(n)$
2023-M2-09
Ans: (a) $f'(x)=(1-2x^2)e^{-x^2}$, $f”(x)=2x(2x
… Read 2023-M2-10
Ans: (a) $\dfrac{-2}{11}\bv{i}-\dfrac{5}{11}\bv{j}-\
… Read 2023-M2-11
Ans: (a) (i) $a\neq 1$ and $a\neq \dfrac{3}{2}$ (ii) $5$ (ii
… Read 2023-M2-12
Ans: (b) $\dfrac{1}{4}(e^2-4e+7)$ (c) $\dfrac{e^2-4e+7
… Read 3. Binomial Theorem
If $n$ is a positive integer and $0 \le r \le n$, then
$$\begin… Read
3. Principle of Mathematical Induction
A proposition $P(n)$ is true for all positive integers $n$ (… Read
Addition Law
Let $E$ and $F$ be two events.
\begin{equation*}
P(E\mbox{ … Read
