2021-II-34
Ans: C
… Read Consider the equation of the straight line, we have
$\
HKDSE-MATH - 2021 - Paper 2 -
2021-II-35
Ans: A
… Read I must be true. For any real number $\alpha$,
$\begin{
2021-II-36
Ans: A
… Read I must be true. Since $p$, $q$, $r$ and $s$ is a geometri
2021-II-37
Ans: B
… Read For any real number $x$, $x^2+kx+k+8\ge 0$. Then we ha
2021-II-38
Ans: B
… Read Add a point $X$ on $CD$ such that $EX \perp CD$. Hence, $
2021-II-39
Ans: D
… Read Join $AD$.
In $\Delta CDE$,
$\begin{array}{rcll}
\a
2021-II-40
Ans: A
… Read $\left\{ \begin{array}{l}
x^2 +y^2 -4x -22y +75 = 0 &#
2021-II-41
Ans: C
… Read Let $Q=(x,y)$. Denote the orthocentre by $H$. Since $
2021-II-42
Ans: D
… Read The required number of different choirs
$\begin{arr
2021-II-43
Ans: D
… Read The required probability
$\begin{array}{cl}
=
2021-II-44
Ans: C
… Read Let $\sigma$ be the standard deviation of the examina
2021-II-45
Ans: B
… Read Let $a$ and $d$ be the first term and the common differe
2021-M2-01
Ans: $f'(x) = \dfrac{-6x}{(3x^2+4)^2}$
… Read $\begin{array}{
2021-M2-02
Let $P(n)$ be the given statement.
… Read For $n=1$,
$\begin{arra
2021-M2-03
Ans: (a) $6$ (b) $106\ 240$
… Read - By the binomial theorem, we have
$
2021-M2-04
Ans: (b) $\dfrac{\pi}{12}$ or $\dfrac{\pi}{8}$ or $\dfra
… Read 2021-M2-05
Ans: (a) $x=1$, $y=x+1$ (b) $\dfrac{d}{dx}r(x) = \dfrac{x
… Read 2021-M2-06
Ans: (a) $5$ (b) $\dfrac{e^4-3}{2}$
… Read This is out of syllabus
2021-M2-07
Ans: (a) $x(\ln x)^2 -2x \ln x +2x +C$ (b) $\pi[(\ln 2)^2-2\l
… Read 2021-M2-08
Ans: (a) $d=3$, $\{ (3-32t, 13t-1, t) | t \in \mathbb{R} \}$ (
… Read