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 mid-po

### Question Asked by a Student from EXXAMM.com Team

Q 1730134912.     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
mid-point of QR. Let CD be another chord of this
circle passing through P such that angleCPQ is acute.
If M is the mid-point of CD and MP = sqrt24 cm,
then which of the following statements are correct ?

1. angleQPD = 135^0

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 DeltaOPR to the area of
DeltaOMP is 1 : 2sqrt2
.
Select the correct answer using the codes given below.
CDS 2016
A

text(1 and 2)

B

text(2 and 3)

C

text(1 and 3)

D

text(1, 2 and 3)

#### HINT

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