A person at a point D on a straight road AC has four options to go to B which lies on a perpendicular to AC through D. Which one of the following is the shortest route to B ?

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Q: 142 (IAS/1994)
A person at a point D on a straight road AC has four options to go to B which lies on a perpendicular to AC through D.
Which one of the following is the shortest route to B ?

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,5,12,5,6,1,5

keywords: 

{'shortest route': [1, 1, 0, 0], 'perpendicular': [0, 1, 1, 2], 'straight road ac': [0, 1, 0, 0], 'ac': [0, 1, 0, 2], 'options': [1, 1, 0, 21]}

The question asks for the shortest route from D to B.

Option 1: This route involves traveling from D to A and then from A to B. This involves two straight movements.

Option 2: This route involves traveling from D to E and then from E to B. This is similar to option 1, it involves two different directions to reach the point B.

Option 3: This route involves traveling from D to C and then from C to B. Again, it has two different direction movements which can be seen as similar to option 1 and 2.

Option 4: This route involves traveling from D to F and then from F to B. Although the question lacks a visual representation of this journey, the answer suggests that F is on the perpendicular line between D and B. Hence, this route is the most direct and would be the shortest.

Remember, the shortest distance between two points is a straight line, and options 1, 2, and 3 involve zigzag or roundabout routes as compared to option 4.