HSC Arts 12th Board ExamMaharashtra State Board
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Find the area of the region bounded by the curve x^2 = 16y, lines y = 2, y = 6 and Y-axis lying in the first quadrant. - HSC Arts 12th Board Exam - Mathematics and Statistics

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Question

Find the area of the region bounded by the curve x2 = 16y, lines y = 2, y = 6 and Y-axis lying in the first quadrant.

Solution

y varies from y = 2 to y = 6.
Equation of parabola x2 = 16y

`x=4sqrty`

Required area = `int_a^bxdy`

`=int_2^64sqrtydy`

`=4[y^(1/2)/(3/2)]_2^6`

`=4xx2/3[(6)^(3/2)-2^(3/2)]`

`=8/3[6^(3/2)-2^(3/2)]`sq. units

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APPEARS IN

 2016-2017 (July) (with solutions)
Question 4.2.4 | 2.00 marks

Video TutorialsVIEW ALL [1]

Solution Find the area of the region bounded by the curve x^2 = 16y, lines y = 2, y = 6 and Y-axis lying in the first quadrant. Concept: Area of the Region Bounded by a Curve and a Line.
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