Mathematics P2
NSC
Limpopo DoE/June \( 2024^{\circ} \)
QUESTION \( _{3} \)
In the diagram \( \mathrm{P}(-4 ; 2), \mathrm{Q}(4 ; a), \mathrm{R}(2 ;-1) \) and \( \mathrm{S}(-2 ;-3) \) are the vertices of trapezium \( \mathrm{P}^{2} \) RS with \( \mathrm{PQ} \| \mathrm{SR} \).
Calculate the value of \( a \).
Find the equation of the line passing through \( \mathrm{P} \) and \( \mathrm{R} \).
Find the size of PRQ.
If \( \mathrm{A}(-1 ; t) \) and \( \mathrm{P}, \mathrm{A} \) and \( \mathrm{R} \) are collinear, calculate the value of \( t \).