How many lines can be drawn which are perpendicular to a given line and pass through a given point lying on it?

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answer is A.

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Detailed Solution

A line's perpendicular is always at 90° to the line and is the shortest distance between its two ends.
The perpendicular is formed by connecting a given point to a given line. The given point is on the given line, and the perpendicular cuts it. As a result, from the point to the line, only one perpendicular line can be drawn.
There is only one line that can be drawn from a given point to a given line.
As a result, option 1 is correct.

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