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Point R is 10 metres north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 metres east of point A. Point M is 7 metres east of point K. Point S is 6 metres north of point M. What is the distance between points S and N?
Q.
- a)3 metres
- b)16 metres
- c)11 metres
- d)12 metres
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Point R is 10 metres north of point A. Point K is exactly in the middl...
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Point R is 10 metres north of point A. Point K is exactly in the middl...
To find the distance between points S and N, we need to determine the coordinates of these two points and then calculate the distance using the distance formula.
- Finding the coordinates of points R, A, K, N, M, and S:
Given that point R is 10 metres north of point A, we can say that the y-coordinate of R is 10 units greater than the y-coordinate of A. Let's assume the coordinates of point A are (x, y). Therefore, the coordinates of point R will be (x, y + 10).
Point K is exactly in the middle of points R and A. So, the x-coordinate of K will be the average of the x-coordinates of R and A, and the y-coordinate of K will be the average of the y-coordinates of R and A. Therefore, the coordinates of point K will be ((x + x) / 2, (y + y + 10) / 2), which simplifies to (x, y + 5).
Point N is 7 metres east of point A. Since N is to the east, the x-coordinate of N will be 7 units greater than the x-coordinate of A. Therefore, the coordinates of point N will be (x + 7, y).
Point M is 7 metres east of point K. Similar to N, the x-coordinate of M will be 7 units greater than the x-coordinate of K. Therefore, the coordinates of point M will be (x + 7, y + 5).
Point S is 6 metres north of point M. So, the y-coordinate of S will be 6 units greater than the y-coordinate of M. Therefore, the coordinates of point S will be (x + 7, y + 5 + 6), which simplifies to (x + 7, y + 11).
- Calculating the distance between points S and N:
To find the distance between two points, we can use the distance formula, which is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of S are (x + 7, y + 11) and the coordinates of N are (x + 7, y). Plugging these values into the distance formula, we get:
Distance = √(((x + 7) - (x + 7))^2 + ((y + 11) - y)^2)
= √(0^2 + 11^2)
= √(0 + 121)
= √121
= 11
Therefore, the distance between points S and N is 11 metres. Hence, the correct answer is option C.
- Finding the coordinates of points R, A, K, N, M, and S:
Given that point R is 10 metres north of point A, we can say that the y-coordinate of R is 10 units greater than the y-coordinate of A. Let's assume the coordinates of point A are (x, y). Therefore, the coordinates of point R will be (x, y + 10).
Point K is exactly in the middle of points R and A. So, the x-coordinate of K will be the average of the x-coordinates of R and A, and the y-coordinate of K will be the average of the y-coordinates of R and A. Therefore, the coordinates of point K will be ((x + x) / 2, (y + y + 10) / 2), which simplifies to (x, y + 5).
Point N is 7 metres east of point A. Since N is to the east, the x-coordinate of N will be 7 units greater than the x-coordinate of A. Therefore, the coordinates of point N will be (x + 7, y).
Point M is 7 metres east of point K. Similar to N, the x-coordinate of M will be 7 units greater than the x-coordinate of K. Therefore, the coordinates of point M will be (x + 7, y + 5).
Point S is 6 metres north of point M. So, the y-coordinate of S will be 6 units greater than the y-coordinate of M. Therefore, the coordinates of point S will be (x + 7, y + 5 + 6), which simplifies to (x + 7, y + 11).
- Calculating the distance between points S and N:
To find the distance between two points, we can use the distance formula, which is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of S are (x + 7, y + 11) and the coordinates of N are (x + 7, y). Plugging these values into the distance formula, we get:
Distance = √(((x + 7) - (x + 7))^2 + ((y + 11) - y)^2)
= √(0^2 + 11^2)
= √(0 + 121)
= √121
= 11
Therefore, the distance between points S and N is 11 metres. Hence, the correct answer is option C.
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Point R is 10 metres north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 metres east of point A. Point M is 7 metres east of point K. Point S is 6 metres north of point M. What is the distance between points S and N?Q.a)3 metresb)16 metresc)11 metresd)12 metrese)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Point R is 10 metres north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 metres east of point A. Point M is 7 metres east of point K. Point S is 6 metres north of point M. What is the distance between points S and N?Q.a)3 metresb)16 metresc)11 metresd)12 metrese)None of theseCorrect answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Point R is 10 metres north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 metres east of point A. Point M is 7 metres east of point K. Point S is 6 metres north of point M. What is the distance between points S and N?Q.a)3 metresb)16 metresc)11 metresd)12 metrese)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Point R is 10 metres north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 metres east of point A. Point M is 7 metres east of point K. Point S is 6 metres north of point M. What is the distance between points S and N?Q.a)3 metresb)16 metresc)11 metresd)12 metrese)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Point R is 10 metres north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 metres east of point A. Point M is 7 metres east of point K. Point S is 6 metres north of point M. What is the distance between points S and N?Q.a)3 metresb)16 metresc)11 metresd)12 metrese)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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