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

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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


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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