In a triangle PQR, let \anglePQR=30^\circ and the sides PQ and QR have length 10\sqrt3 and 10 respectively.Then, which of the following statements(s) is (are) TRUE ? [JEE Adv 2018 P1]

The area of the triangle PQR is 25\sqrt3 and \angleQRP=120^\circ

The are of the incircle of the triangle PQR is 10\sqrt3-15

The area of the circumcircle of the triangle ܴܲܳ is 100\pi

Trigonometric Functions & Equations

Section: Mathematics

Question : 11 of 30

Marks: +1, -0

In a triangle PQR, let ∠PQR=30° and the sides PQ and QR have length 10√3 and 10 respectively.Then, which of the following statements(s) is (are) TRUE ?

[JEE Adv 2018 P1]

∠QPR=45°
The area of the triangle PQR is 25√3 and ∠QRP=120°
The are of the incircle of the triangle PQR is 10√3−15
The area of the circumcircle of the triangle ܴܲܳ is 100π

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