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HKCEE - 2006 - Paper 2 -

2006-II-16

Ans: A

Since the bearing of $Q$ from $A$ is $\text{S}28^\cir

… Read
2006

2006-II-21

Ans: D
$\begin{array}{cl}
& 2\sin(90^\circ –
… Read
2006

2006-II-22

Ans: D
I may be false. For $\theta= 40^\circ$, $\tan 40^\cir
… Read
2006

2006-II-23

Ans: C
Add a straight line from the upper base to the lower bas
… Read
2006

2006-II-44

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

2007-II-15

Ans: C

$\begin{array}{rcl}
\alpha + 110^\circ & = �

… Read
2007

2007-II-20

Ans: D
Since $x+y=90^\circ$, we have $x = 90^\circ – y
… Read
2007

2007-II-21

Ans: D
$\begin{array}{cl}
& \dfrac{\cos A}{\sin A} +
… Read
2007

2007-II-22

Ans: D
$\begin{array}{rcl}
\sin\theta & = & \sq
… Read
2007

2007-II-23

Ans: B
In $\Delta ABC$,

$\begin{array}{rcl}
\angle ABC �

… Read
2007

2007-II-47

Ans: B
By applying the sine law to the triangle, we have

$\beg

… Read
2007

2007-II-48

Ans: A
By applying the cosine law to $\Delta ABD$, we have

$\b

… Read
2007

2008-I-04

Ans: $220^\circ$
Note that $\angle PRQ=90^\circ$, then we
… Read
2008

2008-II-22

Ans: C
Consider $\Delta ABD$.

$\begin{array}{rcl}
\tan 30

… Read
2008

2008-II-23

Ans: A
$\begin{array}{rcl}
\dfrac{\cos A}{\tan (90^\cir
… Read
2008

2008-II-24

Ans: A

Note that

$\begin{array}{rcl}
AC^2 + BC^2 & = &#

… Read
2008

2008-II-45

Ans: B
Let $y = \sin \theta$. Then the equation becomes

$\beg

… Read
2008

2008-II-47

Ans: B
For $0^\circ \le \theta \le 360^\circ$, we have

$\beg

… Read
2008

2008-II-48

Ans: D

Add a point $E$ on $AB$ such that $AC//ED$. Then $AEDC$

… Read
2008

2009-II-16

Ans: A

Let $\theta$ be the angle of depression of $Q$ from $P$

… Read
2009

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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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