Area (in sq. units) lying in the first quadrant and bounded by the circle x^2+y^2=4 and the lines x = 0 and x = 2 is

MHT CET 2024 Mathematics question

Area (in sq. units) lying in the first quadrant and bounded by the circle and the lines x = 0 and x = 2 is

(1)Correct
(2)
(3)
(4)

Answer: (1)

Solution

In the first quadrant the circle is , and the region between and above the X-axis is exactly a quarter of the circle of radius . Area \int_0^2$ dx=[ x2+42

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Question ID VK-095668