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Using Integration Find the Area of the Triangular Region Whose Sides Have the Equations Y = 2x +1, Y = 3x + 1 and X = 4. - Mathematics

Using integration find the area of the triangular region whose sides have the equations y = 2x +1, y = 3x + 1 and = 4.

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Solution

The equations of sides of the triangle are y = 2x +1, y = 3x + 1, and = 4.

On solving these equations, we obtain the vertices of triangle as A(0, 1), B(4, 13), and C (4, 9).

It can be observed that,

Area (ΔACB) = Area (OLBAO) –Area (OLCAO)

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APPEARS IN

NCERT Class 12 Maths
Chapter 8 Application of Integrals
Q 5 | Page 371
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