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HKDSE-MATH

2022-II-33

Ans: D

$\left\{ \begin{array}{ll}
\log_4 y = 2x-1 & \l

… Read
2022

2022-II-34

Ans: A

$\begin{array}{cl}
& 12\text{B}00\text{CD}

… Read
2022

2022-II-35

Ans: B

$\begin{array}{rcl}
z & = & 4+5i^{10}-ki

… Read
2022

2022-II-36

Ans: B

$\left\{ \begin{array}{ll}
2x+y = 8 & \ldots \u

… Read
2022

2022-II-37

Ans: D

Since they are terms of a geometric sequence, then we h

… Read
2022

2022-II-38

Ans: D

Join $AC$ and $BD$.

$\begin{array}{rcll}
\angle BDC

… Read
2022

2022-II-39

Ans: C

$\begin{array}{rcl}
\sin^2x & = & 6\cos^

… Read
2022

2022-II-40

Ans: A

Note that $\alpha = \angle GFH = 45^\circ$.

Denote the

… Read
2022

2022-II-41

Ans: A

Note that the coordinates of the circumcentre are $\l

… Read
2022

2022-II-42

Ans: B

The required number of password formed

$\begin{arra

… Read
2022

2022-II-43

Ans: B

The required probability

$\begin{array}{cl}
= 

… Read
2022

2022-II-44

Ans: C

The new median $x$

$\begin{array}{cl}
= & 30 \ti

… Read
2022

2022-II-45

Ans: D

I is not true. The mean of $S_1$

$\begin{array}{cl}
= &

… Read
2022

2023-I-01

Ans: $h=\dfrac{15+k^2}{5-k}$

$\begin{array}{rcl}
\dfr

… Read
2023

2023-I-02

Ans: $x^{34}y^{55}$

$\begin{array}{cl}
& \dfrac{x

… Read
2023

2023-I-03

Ans: No

The maximum absolute error correct to the nearest $1

… Read
2023

2023-I-04

Ans: (a) $\dfrac{-9}{2} < x < 3$ (b) $4$
  1. Consider the first inequality, we
… Read
2023

2023-I-05

Ans: $35$

Let $x$ and $y$ be the number of male and female pass

… Read
2023

2023-I-06

Ans: (a) $6:7:17$ (b) $\dfrac{43}{50}$
  1. Consider the equat
… Read
2023

2023-I-07

Ans: $\angle RQS=27^\circ$, $\angle PQS=63^\circ$

In $\D

… Read
2023

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Topic Cloud

3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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