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Question 12 Marks
How many lines can be drawn which are perpendicular to a given line and pass through a given point lying outside it?
Answer
Perpendicular line from a given point to a given line is the shortest distance between them.
Only one shortest distance is possible.
Thus, only one perpendicular line is possible from the given point (outside the line) to a given line.
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Question 22 Marks
How many lines can be drawn which are perpendicular to a given line and pass through a given point lying on it?
Answer
At any point on the line, we can draw only one perpendicular line.
Thus, on the given line on a point, we can draw only one perpendicular line.
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