GATE Exam > GATE Questions > M and N start from the same location.M travel...
Start Learning for Free
M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel?
Most Upvoted Answer
M and N start from the same location.M travels 10km east and then 10km...
Calculating the Shortest Distance between M and N
Given that M travels 10km east and then 10km north east and N travels 5km east and then 4km south east, we need to calculate the shortest distance between M and N at the end of their travel.
Step 1: Plotting the Points
The first step is to plot the points where M and N end up after their respective travels. Let's assume that the starting point is (0,0) for both M and N.
- After traveling 10km east, M ends up at (10,0).
- After traveling 5km east, N ends up at (5,0).
- After traveling 10km north east, M ends up at (10,10).
- After traveling 4km south east, N ends up at (9,-4).
Step 2: Calculating the Distance
Now that we have the coordinates where M and N end up, we can calculate the distance between them using the Pythagorean theorem.
The distance between M and N is the hypotenuse of the right triangle formed by the line segment connecting their endpoints. We can calculate the length of the legs of the triangle using the coordinates:
- The length of one leg is the difference in x-coordinates: 10 - 5 = 5.
- The length of the other leg is the difference in y-coordinates: 10 - (-4) = 14.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse:
distance = sqrt(5^2 + 14^2) = 14.87 km (approx)
Step 3: Conclusion
Therefore, the shortest distance between M and N at the end of their travel is approximately 14.87 km.
Community Answer
M and N start from the same location.M travels 10km east and then 10km...
13.614
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel?
Question Description
M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel?.
M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel?.
Solutions for M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? defined & explained in the simplest way possible. Besides giving the explanation of
M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel?, a detailed solution for M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? has been provided alongside types of M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? theory, EduRev gives you an
ample number of questions to practice M and N start from the same location.M travels 10km east and then 10km north east.N travels 5km east and then 4km south east . what is the shortest distance between M and N at the end of their travel? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup