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Byju's Answer
Standard VI
Mathematics
Using a Compass and Ruler
The number of...
Question
The number of perpendiculars that can be drawn to a line from a point, not on it is
A
1
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B
2
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C
4
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D
infinitely many
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Solution
The correct option is
A
1
Perpendicular lines intersect to form right angles. A Bisector of a Line divides the line into two equal parts.
There can be many lines drawn that bisect the line. But only one line that is both perpendicular and a bisector.
Hence, Option (A) is the correct answer.
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Q.
Prove that, of all line segments that can be drawn to a given line, from a point, not lying on it, the perpendicular line segment is the shortest.