2025 CJC P1 Q1

The diagram above shows the curve \(C\) with equation \(\frac{(x+p)^2}{r} - \frac{(y+q)^2}{9} = 1\), where \(p\), \(q\) and \(r\) are constants. The vertices are \((-5,3)\) and \((-1,3)\) and the asymptotes are \(y = \frac{3}{2}x + \frac{15}{2}\) and \(y = -\frac{3}{2}x - \frac{3}{2}\).

1. Find the values of \(p\), \(q\) and \(r\).[3]
2. The curve \(D\) has equation \((x+3)^2 + m(y-3)^2 = m\), where \(m\) is a positive constant. Find the range of values of \(m\) for which curves \(C\) and \(D\) do not intersect.[2]