Consider a circle with centre at O and radius 7 cm. Let QR be a chord of length 2 cm and let P be the midpoint of QR. Let CD be another chord of this circle passing through P such that ∠CPQ is acute. If M is the midpoint of CD and MP = √24 cm, then which of the following statements are correct?

1. ∠QPD = 135°

2. If CP = m cm and PD = n cm, then m and n are the roots of the quadratic equation x² – 10x + 1 = 0.

3. The ratio of the area of triangle OPR to the area of triangle OMP is 1 : 2√2.

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