One of the lines of a pair cuts the axes at and

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

One of the lines of a pair cuts the axes at (0,2.5)(0,2.5) and (7,0)(7,0). The other line is given by 3x−2y+1=03x - 2y + 1 = 0. (i) Obtain the equation of the first line in standard form. (ii) Solve the two equations simultaneously to find their point of intersection. (iii) Determine the area of the triangle formed by the two lines and the xx-axis.

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