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Solution for Find the Area Enclosed by the Parabola 4y = 3x2 and the Line 2y = 3x + 12 - CBSE (Science) Class 12 - Mathematics

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Question

Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12

Solution

The area enclosed between the parabola, 4y = 3x2, and the line, 2y = 3x + 12, is represented by the shaded area OBAO as

The points of intersection of the given curves are A (–2, 3) and (4, 12).

We draw AC and BD perpendicular to x-axis.

∴ Area OBAO = Area CDBA – (Area ODBO + Area OACO)

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2012 to Current)
Chapter 8: Application of Integrals
Q: 7 | Page no. 375
Solution Find the Area Enclosed by the Parabola 4y = 3x2 and the Line 2y = 3x + 12 Concept: Area Under Simple Curves.
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