Consider a circle with centre at O and radius 7 cm. Let QR be the 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 triangle OPR to the area of triangle OMP is 1 ∶ 2√2Select the correct answer using the code given below.

Consider a circle with centre at O and radius 7 cm. Let QR be the chor

1.	Consider a circle with centre at O and radius 7 cm. Let QR be the 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 triangle OPR to the area of triangle OMP is 1 ∶ 2√2Select 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
Answer» B. 2 and 3 only

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