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If the point A (a, b) divides the line segment joining the points (2, 3) and (2, 7) internally in the ratio 1 : 3, what are the coordinates of this point?
- a)(1, 0)
- b)(2, 6)
- c)(2, 1)
- d)(2, 4)
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If the point A (a, b) divides the line segment joining the points (2,...
To find the coordinates of point A, we can use the concept of section formula.
Let's denote the coordinates of point A as (x, y). According to the given information, the point A divides the line segment joining the points (2, 3) and (2, 7) internally in the ratio 1:3.
Using the section formula, the x-coordinate of point A can be calculated as follows:
x = (3 * 2 + 1 * 2) / (1 + 3)
x = (6 + 2) / 4
x = 8 / 4
x = 2
Similarly, the y-coordinate of point A can be calculated as follows:
y = (3 * 7 + 1 * 3) / (1 + 3)
y = (21 + 3) / 4
y = 24 / 4
y = 6
Hence, the coordinates of point A are (2, 6), which corresponds to option D.
Let's denote the coordinates of point A as (x, y). According to the given information, the point A divides the line segment joining the points (2, 3) and (2, 7) internally in the ratio 1:3.
Using the section formula, the x-coordinate of point A can be calculated as follows:
x = (3 * 2 + 1 * 2) / (1 + 3)
x = (6 + 2) / 4
x = 8 / 4
x = 2
Similarly, the y-coordinate of point A can be calculated as follows:
y = (3 * 7 + 1 * 3) / (1 + 3)
y = (21 + 3) / 4
y = 24 / 4
y = 6
Hence, the coordinates of point A are (2, 6), which corresponds to option D.
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Community Answer
If the point A (a, b) divides the line segment joining the points (2,...
Coordinates of the point A, which divide the line segment joining the points B (x1, y1) and C (x2, y2) in the ratio m1 : m2 (internally) are x = 
and y = 
and y = , m1 + m2 ≠ 0 .
⇒ a = 2 and b = 4
So, the coordinates of point A are (2, 4).
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If the point A (a, b) divides the line segment joining the points (2, 3) and (2, 7) internally in the ratio 1 : 3, what are the coordinates of this point?a)(1, 0)b)(2, 6)c)(2, 1)d)(2, 4)Correct answer is option 'D'. Can you explain this answer?
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