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Grade: 12th pass

                        

Show that of all line sents drawn from a given point not on it, the perpendicular line sent is the shortest.

Show that of all line sents drawn from a given point not on it, the perpendicular line sent is the shortest.

one month ago

Answers : (1)

Pawan Prajapati
askIITians Faculty
5328 Points
							. AP is perpendicular line segment on line l and AQ is any other line segment. A 
L APQ > L AQP [In a 
triangle, if an 
angle is 90°, other two 
angles are less than 90°.] < P a > / 
=> AQ > AP. 
Hence, any line segment AQ, from point A to the line l, is greater than the perpendicular line segment AP, from point A to the line l. 
Hence, AP is the shortest segment of all the segments. 


						
one month ago
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