Properties of Triangle

Section: Mathematics

Question : 6 of 15

Marks: +1, -0

In a non-right angled triangle ΔPQR , let p, q, r denote the lengths of the sides opposite to the angles at P, Q, R respectively. The median from R meets the side PQ at S, theperpendicular from P meets the side QR at E, and RS and PE intersect at O. If p=√3,q=1 and the radius of the circumcircle of the ΔPQR equals 1, then which of the following options is/are correct?

[JEE Adv 2019 P1]

Length of OE=
1
6
Radius of incircle of ∆PQR=‌‌
√3
2
(2−√3)
Area of ∆SOE=‌‌
√3
12
Length of RS=
√7
2

Validate

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