tmua 2021 Q16

tmua · Uk · paper2 1 marks Curve Sketching Number of Solutions / Roots via Curve Analysis

$\quad p$ and $q$ are real numbers, and the equation
$$x | x | = p x + q$$
has exactly $k$ distinct real solutions for $x$. Which one of the following is the complete list of possible values for $k$ ?
A $0,1,2$
B $0,1,2,3$
C $0,1,2,3,4$
D 0, 2, 4
E 1, 2, 3 F 1,2,3,4

..... 19

$\quad p$ and $q$ are real numbers, and the equation

$$x | x | = p x + q$$

has exactly $k$ distinct real solutions for $x$.\\
Which one of the following is the complete list of possible values for $k$ ?

A $0,1,2$\\
B $0,1,2,3$\\
C $0,1,2,3,4$\\
D 0, 2, 4\\
E 1, 2, 3\\
F 1,2,3,4

Paper Questions

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