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Direction: Study the information carefully and answer the questions given below.
P is standing north of Q at a distance of 6m. R is standing toward east of P at a distance of 6m. R is to the north of S and distance between them is 6m. P is facing north direction, R is facing east, S is facing North and Q is facing towards west direction. All of them walk straight for 3m.
What is the distance between the final position of P and Q?
  • a)
    10√3 m
  • b)
    9 m
  • c)
    6 m
  • d)
    3√10 m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: Study the information carefully and answer the questions g...
Given information:
- P is standing north of Q at a distance of 6m.
- R is standing toward east of P at a distance of 6m.
- R is to the north of S and the distance between them is 6m.
- P is facing the north direction, R is facing east, S is facing north, and Q is facing west direction.
- All of them walk straight for 3m.

Analysis:
- We need to find the distance between the final positions of P and Q.
- Since P and Q walk straight for 3m, their final positions will be determined by their initial positions and the direction they are facing.

Steps to find the final position of P:
1. P is initially standing north of Q at a distance of 6m. So, the initial position of P can be represented as (0, 6).
2. P walks straight for 3m in the north direction. So, the final position of P can be represented as (0, 6+3) = (0, 9).
3. P is facing the north direction, so its final position will be (0, 9) in the coordinate system.

Steps to find the final position of Q:
1. Q is initially standing west of P. So, the initial position of Q can be represented as (-6, 0).
2. Q walks straight for 3m in the west direction. So, the final position of Q can be represented as (-6-3, 0) = (-9, 0).
3. Q is facing the west direction, so its final position will be (-9, 0) in the coordinate system.

Distance between the final positions of P and Q:
- Using the distance formula, we can calculate the distance between two points in a coordinate system.
- The distance between the final position of P (0, 9) and the final position of Q (-9, 0) is given by:
distance = sqrt((0-(-9))^2 + (9-0)^2)
distance = sqrt(9^2 + 9^2)
distance = sqrt(81 + 81)
distance = sqrt(162)
distance = sqrt(9 * 18)
distance = 3 * sqrt(18)
distance = 3 * sqrt(9 * 2)
distance = 3 * sqrt(9) * sqrt(2)
distance = 3 * 3 * sqrt(2)
distance = 9 * sqrt(2)

Therefore, the distance between the final positions of P and Q is 9 * sqrt(2) or approximately 12.73 meters.

Hence, the correct answer is option D) 3√10 m.
Free Test
Community Answer
Direction: Study the information carefully and answer the questions g...
Let T be the final position of P and L be the final position of Q.
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Direction: Study the information carefully and answer the questions given below.P is standing north of Q at a distance of 6m. R is standing toward east of P at a distance of 6m. R is to the north of S and distance between them is 6m. P is facing north direction, R is facing east, S is facing North and Q is facing towards west direction. All of them walk straight for 3m.What is the distance between the final position of P and Q?a)10√3 mb)9 mc)6 md)3√10 mCorrect answer is option 'D'. Can you explain this answer?
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Direction: Study the information carefully and answer the questions given below.P is standing north of Q at a distance of 6m. R is standing toward east of P at a distance of 6m. R is to the north of S and distance between them is 6m. P is facing north direction, R is facing east, S is facing North and Q is facing towards west direction. All of them walk straight for 3m.What is the distance between the final position of P and Q?a)10√3 mb)9 mc)6 md)3√10 mCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Direction: Study the information carefully and answer the questions given below.P is standing north of Q at a distance of 6m. R is standing toward east of P at a distance of 6m. R is to the north of S and distance between them is 6m. P is facing north direction, R is facing east, S is facing North and Q is facing towards west direction. All of them walk straight for 3m.What is the distance between the final position of P and Q?a)10√3 mb)9 mc)6 md)3√10 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Study the information carefully and answer the questions given below.P is standing north of Q at a distance of 6m. R is standing toward east of P at a distance of 6m. R is to the north of S and distance between them is 6m. P is facing north direction, R is facing east, S is facing North and Q is facing towards west direction. All of them walk straight for 3m.What is the distance between the final position of P and Q?a)10√3 mb)9 mc)6 md)3√10 mCorrect answer is option 'D'. Can you explain this answer?.
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