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Revision Note - M2 - Mathematical Induction -

1. Definition of Summation Notation

If $m$ and $n$ are integers and $m\le n$, then

$$\dsum_{r=m}… Read

M2

1. Definitions

For any real numbers $a$, $b$, $c$ and $d$. Let $z=a+bi$, whe… Read

Complex Number

1. Permutation and Combination

  1. Factorial For $n$ different objects, if we have a queue of al
… Read
Binomial Theorem

1. Radian Measure

  1. Definition of Radian The measure of an angle subtended at th
… Read
M2

2. Basic Operations of Complex Number

For $i^2=-1$ and any real numbers $a$, $b$, $c$ and $d$.

  1. Addi
… Read
Complex Number

2. Properties of Combination

For any non-negative integers $n$ and $r$, where $0 \le r < n$,

  1. $C^
… Read

Binomial Theorem

2. Properties of Summation Notation

If $k$ is a constant, $m$, $n$ and $p$ are integers and $m \le n … Read

M2

2. The Six Trigonometric Functions

  1. Definition Let $P(x,y)$ be a point on the rectangular coord
… Read
M2

2006-I-01

Ans: $a^{21}$
$\begin{array}{cl}
& \dfrac{(a^3)^5}
… Read
2006

2006-I-02

Ans: (a) $x<\dfrac{19}{5}$ (b) $3$
  1. $\begin{array}{rc
… Read
2006

2006-I-03

Ans: (a) $b(3-a)$ (b) $(3+a)(3-a)$ (c) $(3-a)(3+a+b)$
  1. $\b
… Read
2006

2006-I-04

Ans: $10\pi\text{ cm}$
The length of $\overparen{AB}$
$\b
… Read
2006

2006-I-05

Ans: $\angle ABE=70^\circ$, $\angle BCD=40^\circ$
Since
… Read
2006

2006-I-06

Ans: (a) $50\text{ kg}$ (b) No
  1. The weight of John
    $\begin{ar
… Read
2006

2006-I-07

Ans: (a) $A’=(7,2)$, $B’=(5,5)$ (b) Equal

  1. $A
… Read
2006

2006-I-08

Ans: (a) $24$ (b) $\dfrac{2}{5}$
  1. Since the mean of the ten nu
… Read
2006

2006-I-09

Ans: (a) $35^\circ$ (b) $\$18\ 000$ (c) $\$1\ 750$
  1. $\begin{
… Read
2006

2006-I-10

Ans: (a) (ii) $a=2$, $b=3$ (b) $2x^2+3x-4$, $\dfrac{-3\pm
… Read
2006

2006-I-11

Ans: (a) $0.5\text{ cm}$ (b) $223\text{ cm}^2$ (c) $223\le
… Read
2006

2006-I-12

Ans: (a) $(4,4)$ (b) $2x+y-12=0$, $(6,0)$ (c) (i) $4x-5y-8
… Read
2006

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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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