2022-II-38
Ans: D
… Read Join $AC$ and $BD$.
$\begin{array}{rcll}
\angle BDC
HKDSE-MATH - 2022 - Paper 2 -
2022-II-39
Ans: C
… Read $\begin{array}{rcl}
\sin^2x & = & 6\cos^
2022-II-40
Ans: A
… Read Note that $\alpha = \angle GFH = 45^\circ$.
Denote the
2022-II-41
Ans: A
… Read Note that the coordinates of the circumcentre are $\l
2022-II-42
Ans: B
… Read The required number of password formed
$\begin{arra
2022-II-43
Ans: B
… Read The required probability
$\begin{array}{cl}
=
2022-II-44
Ans: C
… Read The new median $x$
$\begin{array}{cl}
= & 30 \ti
2022-II-45
Ans: D
… Read I is not true. The mean of $S_1$
$\begin{array}{cl}
= &
2022-M2-01
Ans: $\dfrac{-5}{54}$
… Read $\begin{array}{cl}
& g(1+h)
2022-M2-02
Ans: (b) $\dfrac{5\pi}{12}$
… Read -
$\begin{array}{cl}
& \
2022-M2-03
Ans: (b) $4995$
… Read - Let $P(n)$ be the given statement.
For $n=1$
2022-M2-04
Ans: (a) $\dfrac{dy}{dx} = e^{-x}(2x^2-11x+7)$, $\dfrac
… Read 2022-M2-05
Ans: (b) $a=-1$, $b=2$, $n=5$
… Read - By the binomial theorem, we ha
2022-M2-06
Ans: (b) Yes
… Read - Let $I=\dint \dfrac{1}{x^2+2x+5}dx$.
$\begi
2022-M2-07
Ans: (b) $\dfrac{-\ln 3}{294}$
… Read - Consider the slope of $L$,
$
2022-M2-08
Ans: (a) $y=\dfrac{4a^2+(4k-2k^2)a+(k^2+16k+8)}{a^3+
… Read 2022-M2-09
Ans: (a) $x=1$, $y=x+4$ (b) max point: $(-1,1)$, min point:
… Read 2022-M2-10
Ans: (b) $\dfrac{\pi}{4}$ (c) $\dfrac{\pi^2}{8}$ (d) $\d
… Read 2022-M2-11
Ans: (a) (i) $I-A^{n+1}$ (b) (i) $-1$ (ii) $\dfrac{49}{2}$
… Read 2022-M2-12
Ans: (b) (i) $32\bv{i}+\dfrac{7}{3}\bv{j}+\bv{k}$ (ii)
… Read