Question

In the construction of a perpendicular line through a point not on the line, how can we ensure that the circle will cut the line in two points and not just one?

please find someone understand this question to help me answer this question

Answer 1

In the case for the question, at the time of drawing the circle we choose the radius of the circle more than the distance between the point and the line.

As we know that if the distance between the point and the line is greater than the minimum distance between them then the circle with that radius will intersect the line at two points just opposite to each other with respect to the perpendicular on the line from the given point.

In this construction the concept used is that the angle between the radius and the chord is always 90 degree in the case of circle.