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Point P (5, -3) one of 2 point of trisection of line segment join point A (7, -2) and B (1, -5) near to A. Find the coordinator to the other point of trisection?
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Point P (5, -3) one of 2 point of trisection of line segment join poin...
Explanation:
To find the other point of trisection, we need to use the concept of section formula.
Section Formula:
The section formula is used to find the coordinates of a point P which divides the line segment joining two given points A and B internally or externally, in the ratio m:n.
Let the coordinates of point A be (x1, y1) and that of point B be (x2, y2). Let P(x, y) be the point which divides AB in the ratio m:n.
Then the coordinates of P are given by:
x = (mx2 + nx1)/(m + n)
y = (my2 + ny1)/(m + n)
Finding the coordinates of point P:
Given that point A has coordinates (7, -2) and point B has coordinates (1, -5). Let P(x, y) be the point which divides AB in the ratio 1:2.
Using the section formula, we get:
x = (2*1 + 1*7)/(1+2) = 3
y = (2*(-5) + 1*(-2))/(1+2) = -4
Hence, the coordinates of point P are (3, -4).
Finding the coordinates of the other point of trisection:
We know that point P divides AB in the ratio 1:2. Let Q(x, y) be the point which divides PB in the same ratio 1:2.
Using the section formula, we get:
x = (2*3 + 1*5)/(1+2) = 3.33 (approx)
y = (2*(-4) + 1*(-3))/(1+2) = -3.33 (approx)
Hence, the coordinates of the other point of trisection are (3.33, -3.33) (approx).
Therefore, the coordinates of the other point of trisection are (3.33, -3.33) (approx).
To find the other point of trisection, we need to use the concept of section formula.
Section Formula:
The section formula is used to find the coordinates of a point P which divides the line segment joining two given points A and B internally or externally, in the ratio m:n.
Let the coordinates of point A be (x1, y1) and that of point B be (x2, y2). Let P(x, y) be the point which divides AB in the ratio m:n.
Then the coordinates of P are given by:
x = (mx2 + nx1)/(m + n)
y = (my2 + ny1)/(m + n)
Finding the coordinates of point P:
Given that point A has coordinates (7, -2) and point B has coordinates (1, -5). Let P(x, y) be the point which divides AB in the ratio 1:2.
Using the section formula, we get:
x = (2*1 + 1*7)/(1+2) = 3
y = (2*(-5) + 1*(-2))/(1+2) = -4
Hence, the coordinates of point P are (3, -4).
Finding the coordinates of the other point of trisection:
We know that point P divides AB in the ratio 1:2. Let Q(x, y) be the point which divides PB in the same ratio 1:2.
Using the section formula, we get:
x = (2*3 + 1*5)/(1+2) = 3.33 (approx)
y = (2*(-4) + 1*(-3))/(1+2) = -3.33 (approx)
Hence, the coordinates of the other point of trisection are (3.33, -3.33) (approx).
Therefore, the coordinates of the other point of trisection are (3.33, -3.33) (approx).
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Point P (5, -3) one of 2 point of trisection of line segment join point A (7, -2) and B (1, -5) near to A. Find the coordinator to the other point of trisection?
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Point P (5, -3) one of 2 point of trisection of line segment join point A (7, -2) and B (1, -5) near to A. Find the coordinator to the other point of trisection? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Point P (5, -3) one of 2 point of trisection of line segment join point A (7, -2) and B (1, -5) near to A. Find the coordinator to the other point of trisection? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Point P (5, -3) one of 2 point of trisection of line segment join point A (7, -2) and B (1, -5) near to A. Find the coordinator to the other point of trisection?.
Point P (5, -3) one of 2 point of trisection of line segment join point A (7, -2) and B (1, -5) near to A. Find the coordinator to the other point of trisection? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Point P (5, -3) one of 2 point of trisection of line segment join point A (7, -2) and B (1, -5) near to A. Find the coordinator to the other point of trisection? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Point P (5, -3) one of 2 point of trisection of line segment join point A (7, -2) and B (1, -5) near to A. Find the coordinator to the other point of trisection?.
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