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2018-II-06

Posted on 16-06-2021 By app.cch No Comments on 2018-II-06
Ans: D
I is true. Consider the slope of $L_1$.

$\begin{array}{rcl}
m_{L_1} & > & 0 \\
\dfrac{-3}{a} & > & 0 \\
a & < & 0 \end{array}$

Consider the slope of $L_2$.

$\begin{array}{rcl}
m_{L_2} & > & 0 \\
-c & > & 0 \\
c & < & 0 \end{array}$

According to the figure, we have

$\begin{array}{rcl}
m_{L_1} & > & m_{L_2} \\
\dfrac{-3}{a} & > & -c \\
\dfrac{3}{a} & < & c \\ 3 & < & ac \end{array}$

II is not true. According to the figure, we have

$\begin{array}{rcl}
\text{$y$-intercept of $L_1$} & > & \text{$y$-intercept of $L_2$} \\
\dfrac{b}{a} & > & d \\
b & < & ad \end{array}$

III is true. According to the figure, we have

$\begin{array}{rcl}
\text{$x$-intercept of $L_1$} & > & \text{$x$-intercept of $L_2$} \\
\dfrac{b}{3} & > & \dfrac{d}{c} \\
bc & < & 3d \end{array}$

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2018, HKDSE-MATH, Paper 2 Tags:Equations of Straight Line

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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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