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If A and B are the points (-6, 7) and (-1, -5) respectively, then the distance 2AB is equal to
- a)26
- b)169
- c)13
- d)238
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If A and B are the points (-6, 7) and (-1, -5) respectively, then the ...
To find the distance between two points, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and allows us to calculate the distance between two points in a coordinate plane.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we are given the points A (-6, 7) and B (-1, -5). We need to find the distance 2AB, which means we need to find the distance between A and B and then multiply it by 2.
Let's calculate the distance between A and B first:
x1 = -6, y1 = 7 (coordinates of A)
x2 = -1, y2 = -5 (coordinates of B)
Using the distance formula:
dAB = sqrt((-1 - (-6))^2 + (-5 - 7)^2)
= sqrt(5^2 + (-12)^2)
= sqrt(25 + 144)
= sqrt(169)
= 13
Now, to find the distance 2AB, we multiply the distance between A and B by 2:
2AB = 2 * 13
= 26
So, the distance 2AB is equal to 26. Therefore, the correct answer is option A.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we are given the points A (-6, 7) and B (-1, -5). We need to find the distance 2AB, which means we need to find the distance between A and B and then multiply it by 2.
Let's calculate the distance between A and B first:
x1 = -6, y1 = 7 (coordinates of A)
x2 = -1, y2 = -5 (coordinates of B)
Using the distance formula:
dAB = sqrt((-1 - (-6))^2 + (-5 - 7)^2)
= sqrt(5^2 + (-12)^2)
= sqrt(25 + 144)
= sqrt(169)
= 13
Now, to find the distance 2AB, we multiply the distance between A and B by 2:
2AB = 2 * 13
= 26
So, the distance 2AB is equal to 26. Therefore, the correct answer is option A.
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