- The perpendicular distance of the line 3x – 4y + 25 = 0 from the origin is
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Since this perpendicular line passes through the origin, there will be no intercept on the y or x axes. So the equation of the perpendicular line is y = - 4x/3. y= - 4x/3. Solving these two equations, gives you the nearest point from origin as (3, - 4).
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