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Question

Area of the region in which point  p(x,y,x>0 lies; such that y16x2 and tan1(yx)π3 is


Your Answer
A
(163x)
Correct Answer
B
(163+83)
Your Answer
C
(43π)
Your Answer
D
(3π)

Solution

The correct option is B (163+83)
Required area is the area of shaded region (APOQ)
=area of ΔOAQ+area of sector(OAP)
12×4×43+π(4×4)6
(8π3+83)

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