O and radius 7 cm, Let QR be a chord of length 2 cm and let P be the midpoint of QR
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 = 150o
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: 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