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HKCEE

2006-II-44

Ans: A
$\begin{array}{rcl}
3\cos^2 x -4\cos x +1 & = &#
… Read
2006

2006-II-45

Ans: C

Note that each faces of the tetrahedron are equilater

… Read
2006

2006-II-46

Ans: B
In $\Delta OBC$,

$\begin{array}{ll}
OB=OC & \t

… Read
2006

2006-II-47

Ans: B
Join $OB$.

In $\Delta OAB$,

$\begin{array}{ll}
OB = B

… Read
2006

2006-II-48

Ans: D
Note that the inscribed circle of the $\Delta ABO$ is t
… Read
2006

2006-II-49

Ans: D
I must be true. Note that $\Delta ABC$ is an isosceles t
… Read
2006

2006-II-50

Ans: A
Note that the centre of the circle

$\begin{array}{cl

… Read
2006

2006-II-51

Ans: C
Join $BC$ and add a point $D$ on $y$-axis such that $AB\
… Read
2006

2006-II-52

Ans: B
Note that the sample space is

$\begin{array}{|c|c|c

… Read
2006

2006-II-53

Ans: B
$P\text{(the 2nd correct $|$ at least one correct)}$
… Read
2006

2006-II-54

Ans: D
The mean of the five numbers

$\begin{array}{cl}
= �

… Read
2006

2007-I-01

Ans: $p=\dfrac{3q+7}{2}$
$\begin{array}{rcl}
5p-7 
… Read
2007

2007-I-02

Ans: $\dfrac{n^5}{m^3}$
$\begin{array}{cl}
& \dfr
… Read
2007

2007-I-03

Ans: (a) $(r+5)^2$ (b) $(r+s+5)(r-s+5)$
  1. $\begin{array}{
… Read
2007

2007-I-04

Ans: Median $=67\text{ kg}$, range $=25\text{ kg}$, stand
… Read
2007

2007-I-05

Ans: $k49$
Since the equation has no real roots, then $\Delt
… Read
2007

2007-I-06

Ans: (a) $\$320$ (b) $28\%$
  1. The selling price of the vase

    $\b

… Read
2007

2007-I-07

Ans: $43$
Let $x$ and $y$ be the number of elderly patients an
… Read
2007

2007-I-08

Ans: $x=70^\circ$, $y=20^\circ$, $z=20^\circ$
Since $DE
… Read
2007

2007-I-09

Ans: (a) $72^\circ$ (b) $320\pi\text{ cm}^2$
  1. Let $\angle A
… Read
2007

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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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