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HKDSE-M2 - 2021

2021-M2-01

Ans: $f'(x) = \dfrac{-6x}{(3x^2+4)^2}$

$\begin{array}{

… Read
2021

2021-M2-02

Let $P(n)$ be the given statement.

For $n=1$,

$\begin{arra

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2021

2021-M2-03

Ans: (a) $6$ (b) $106\ 240$
  1. By the binomial theorem, we have

    $

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2021

2021-M2-04

Ans: (b) $\dfrac{\pi}{12}$ or $\dfrac{\pi}{8}$ or $\dfra
… Read
2021

2021-M2-05

Ans: (a) $x=1$, $y=x+1$ (b) $\dfrac{d}{dx}r(x) = \dfrac{x
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2021

2021-M2-06

Ans: (a) $5$ (b) $\dfrac{e^4-3}{2}$

This is out of syllabus

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2021

2021-M2-07

Ans: (a) $x(\ln x)^2 -2x \ln x +2x +C$ (b) $\pi[(\ln 2)^2-2\l
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2021

2021-M2-08

Ans: (a) $d=3$, $\{ (3-32t, 13t-1, t) | t \in \mathbb{R} \}$ (
… Read
2021

2021-M2-09

Ans: (a) (i) $\sec \theta$ (ii) $\ln( \sec\theta +\tan \the
… Read
2021

2021-M2-10

Ans: (a) $12$ (b) (i) No (ii) $42$ unit per minute

Sketch a gra

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2021

2021-M2-11

Ans: (b) (i) $\dfrac{5\pi}{6}$ (iii) $\dfrac{-1}{2^{556
… Read
2021

2021-M2-12

Ans: (a) (i) $s=10$, $t=-18$ (ii) $270$ (iii) $2160$ (iv) $2
… Read
2021

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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