Q. 144.0( 26 Votes )

# Using the method of integration find the area of the region bounded by lines:

2x + y = 4, 3x – 2y = 6 and x – 3y + 5 = 0

Answer :

It is given lines if equations are 2x + y = 4, 3x – 2y = 6 and x – 3y + 5 = 0.

Thus, the area of the region bounded by the lines is the area of ΔABC.

And let us draw AL and CM perpendicular to x – axis.

Then,

Area (ΔABC) = Area ALMCA – Area ALB – Area CMB

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