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HKDSE-MATH

2021-II-37

Ans: B

For any real number $x$, $x^2+kx+k+8\ge 0$. Then we ha

… Read
2021

2021-II-38

Ans: B

Add a point $X$ on $CD$ such that $EX \perp CD$. Hence, $

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2021

2021-II-39

Ans: D

Join $AD$.

In $\Delta CDE$,

$\begin{array}{rcll}
\a

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2021

2021-II-40

Ans: A

$\left\{ \begin{array}{l}
x^2 +y^2 -4x -22y +75 = 0 &#

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2021

2021-II-41

Ans: C

Let $Q=(x,y)$. Denote the orthocentre by $H$. Since $

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2021

2021-II-42

Ans: D

The required number of different choirs

$\begin{arr

… Read
2021

2021-II-43

Ans: D

The required probability

$\begin{array}{cl}
= 

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2021

2021-II-44

Ans: C

Let $\sigma$ be the standard deviation of the examina

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2021

2021-II-45

Ans: B

Let $a$ and $d$ be the first term and the common differe

… Read
2021

2022-I-01

Ans: $\dfrac{a^{17}}{b^{14}}$

$\begin{array}{cl}


… Read
2022

2022-I-02

Ans: $57$

$\left\{ \begin{array}{l}
x+y =456 & \ldot

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2022

2022-I-03

Ans: $\dfrac{17k}{(k-9)(5k+6)}$

$\begin{array}{cl}
&#

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2022

2022-I-04

Ans: (a) $(3c-1)^2$ (b) $(7c+d-1)(c+d+1)$
  1. $\begin{array
… Read
2022

2022-I-05

Ans: $\$540$

Let $\$x$ be the marked price of the fan.

The sel

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2022

2022-I-06

Ans: (a) $x<-2$ (b) $-3$
  1. Consider the first inequality, we have

    $\begin{

… Read
2022

2022-I-07

Ans: (a) $S’=(5,12)$, $T’=(-3,7)$ (b) $\dfr
… Read
2022

2022-I-08

Ans: (b) $63^\circ$
  1. In $\Delta ABC$ and $\Delta AED$,

    $\beg

… Read
2022

2022-I-09

Ans: (a) $12$ (b) $19$ minutes (c) $\dfrac{3}{5}$
  1. Note that
… Read
2022

2022-I-10

Ans: (a) $f(x)=3x^2+12x$ (b) $0$ and $-4$ (c) $k-12$
  1. Let $f(
… Read
2022

2022-I-11

Ans: (a) $a=2$, $b=1$ (b) (i) No (ii) $7.16$
  1. Note that there a
… Read
2022

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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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