UPSC CDS Math Circle Questions
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Question : 28 of 46
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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
1. ∠QPD = 135°
2. If CP = m cm and PD = n cm, then m and n are the roots of the quadratic equationx 2 − 10 x + 1 = 0.
3. The ratio of the area of triangle OPR to the area of triangle OMP is1 : 2 √ 2.
Select the correct answer using the code given below.
1. ∠QPD = 135°
2. If CP = m cm and PD = n cm, then m and n are the roots of the quadratic equation
3. The ratio of the area of triangle OPR to the area of triangle OMP is
Select the correct answer using the code given below.
[2016 CDS-I]
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