Question

Find the area of quadrilateral formed by the lines 2|x|+ 3|y| = 6.​

Answer 1

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The 4 lines forming quadrilateral are 2x+3y=6, 2x-3y=6, 3y-2x=6, 2x+3y=(-6). On solving for their intersection points(by solving 2 eq. at a time) we get (0,2) (3,0) (-3,0) (0,-2) as vertices of the quadrilateral. If u make a diagram in co-ordinate system, by simple geometry, area is 12.