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UPSC NDA I 2015 Mathematics Paper

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Question Numbers: 76-77

For the next two (2) items that follow:

Consider the line

x=\sqrt{3} y

and the circle

x^{2} + y^{2} = 4

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Question : 77 of 120

Marks: +1, -0

What is the area of the region in the first quadrant enclosed by the x-axis the line

x=\sqrt{3} y

and the circle?

$\frac{\pi }{3}$
$\frac{\pi }{6}$
$\frac{\pi }{3}-\frac{\sqrt{3}}{2}$
None of the above

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