tmua 2023 Q7

tmua · Uk · paper2 1 marks Straight Lines & Coordinate Geometry Slope and Angle Between Lines

The graph of the line $a x + b y = c$ is drawn, where $a , b$ and $c$ are real non-zero constants. Which one of the following is a necessary but not sufficient condition for the line to have a positive gradient and a positive $y$-intercept?
A $\frac { c } { b } > 0$ and $\frac { a } { b } < 0$ B $\frac { c } { b } < 0$ and $\frac { a } { b } > 0$ C $a > b > c$ D $a < b < c$ E $\quad a$ and $c$ have opposite signs F $\quad a$ and $c$ have the same sign

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The graph of the line $a x + b y = c$ is drawn, where $a , b$ and $c$ are real non-zero constants.
Which one of the following is a necessary but not sufficient condition for the line to have a positive gradient and a positive $y$-intercept?

A $\frac { c } { b } > 0$ and $\frac { a } { b } < 0$
B $\frac { c } { b } < 0$ and $\frac { a } { b } > 0$
C $a > b > c$
D $a < b < c$
E $\quad a$ and $c$ have opposite signs
F $\quad a$ and $c$ have the same sign

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20