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HKDSE-M2 - 2020 -

2020-M2-04

Ans: (a) $\dfrac{\theta}{2} – \dfrac{\sin 2\theta
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2020

2020-M2-07

Ans: (a) $y=-x^2+8x-5$ (b) (i) $(7,2)$ (ii) $x-6y+5=0$
  1. $\b
… Read
2020

2020-M2-09

Ans: (a) $y=x+20$, $x=4$ (b) $\dfrac{384}{(x-4)^3} +\dfr
… Read
2020

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
… Read
2021

2021-M2-09

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

2022-M2-06

Ans: (b) Yes
  1. Let $I=\dint \dfrac{1}{x^2+2x+5}dx$.

    $\begi

… Read
2022

2022-M2-07

Ans: (b) $\dfrac{-\ln 3}{294}$
  1. Consider the slope of $L$,

    $

… Read
2022

2022-M2-09

Ans: (a) $x=1$, $y=x+4$ (b) max point: $(-1,1)$, min point:
… Read
2022

2022-M2-10

Ans: (b) $\dfrac{\pi}{4}$ (c) $\dfrac{\pi^2}{8}$ (d) $\d
… Read
2022

2023-M2-03

Ans: (a) $p=4$, $q=1$ (b) $\pi+\dfrac{3}{2}\ln 2$
  1. $\begin
… Read
2023

2023-M2-06

Ans: (b) $\dfrac{1}{21\pi}$
  1. The required volume

    $\begin{

… Read
2023

2023-M2-07

Ans: (a) $y=3\sqrt{4-x^2}+k\sin^{-1}\dfrac{x}{2} -6$ (
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2023

2023-M2-09

Ans: (a) $f'(x)=(1-2x^2)e^{-x^2}$, $f”(x)=2x(2x
… Read
2023

2023-M2-12

Ans: (b) $\dfrac{1}{4}(e^2-4e+7)$ (c) $\dfrac{e^2-4e+7
… Read
2023

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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