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Trigonometric Functions and Equations question

2018 · Shift 1 · Q20

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PYQ Library
JEE Advanced
Mathematics
Trigonometric Functions and Equations
2018 · Shift 1 · Q20

Trigonometric Functions and Equations question

2018 · Shift 1 · Q20

JEE AdvancedMathematicsTrigonometric Functions and EquationsMultiple correct+4 / −1

In a

\Delta

PQR = 30

^\circ

and the sides PQ and QR have lengths 10

\sqrt 3

and 10, respectively. Then, which of the following statement(s) is(are) TRUE?

A
$\angle QPR = 45^\circ$
B
The area of the $\Delta PQR$ is $25\sqrt 3$ and $\angle QRP = 120^\circ$
C
The radius of the incircle of the $\Delta PQR$ is $10\sqrt 3 -$ 15
D
The area of the circumcircle of the $\Delta PQR$ is 100 $\pi$

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