The lines and meet at

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The lines 2x+y=102x + y = 10 and x+2y=10x + 2y = 10 meet at AA. Line 2x+y=102x + y = 10 cuts the xx-axis at BB and line x+2y=10x + 2y = 10 cuts the yy-axis at CC. What is the area of triangle ABCABC in square units? (a) 253\dfrac{25}{3} (b) 252\dfrac{25}{2} (c) 256\dfrac{25}{6} (d) 254\dfrac{25}{4}

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