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Consider a circle with centre at O and r...

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 `angleCPQ` is acute. If M is the midpoint of CD and `MP = sqrt(24)` cm, then which of the following statements are correct?
1. `angleQPD = 135^(@)`
2. If CP = m cm and PD = n cm, then m and n are the roots of the quadratic equation `x^(2)-10x + 1 = 0.`
3. The ratio of the area of triangle OPR to the area of triangle OMP is `1:2sqrt(2)`.
Select the correct answer using the code given below.

A

1 and 2 only

B

2 and 3 only

C

1 and 3 only

D

1, 2 and 3

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