The distance of the straight line from the origin, which passes through the intersection of $x - 3 y + 1 = 0$ and $2 x + 5 y - 9 = 0$ and has infinite slope is

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Solution

Solving the two straight line equations simultaneously, we get the intersection point of the given two lines has coordinates $(2, 1)$ .
Since the required straight line has infinite slope, so its equation is given by $x = k$ . This passes through $(2, 1)$ . So, the line has equation $x = 2$ .
Therefore, its perpendicular distance from the origin is $2$ .

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The distance of the straight line from the origin, which passes through the intersection of x−3y+1=0 and 2x+5y−9=0 and has infinite slope is

The distance of the straight line from the origin, which passes through the intersection of $x - 3 y + 1 = 0$ and $2 x + 5 y - 9 = 0$ and has infinite slope is