JEE Main 2017 — Circle Question with Solution
From: JEE Main 2017 (Online) 9th April Morning Slot
Question
The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60o. If the area of the quadrilateral is , then the perimeter
of the quadrilateral is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C12
Step-by-step explanation
Here; cos =
and = 60o
cos 60o =
10 = 29 c2
c2 = 19
c =
also; cos =
and = 120o
=
a2 + b2 19 = ab
a2 + b2 + ab = 19
Area = sin 60 + ab sin 120o = 4
=
= 4 =
ab = 6
a2 + b2 = 13
a = 2, b = 3
Perimeter = Sum of all sides
= 2 + 5 + 2 + 3 = 12
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