Question

give some examples of section formula ?



itz shivani .. ​

Answer 1

Step-by-step explanation:

Section Formula Examples

Solution: Let P(x, y) be the point which divides the line segment joining A(4, 6) and B(-5, -4) internally in the ratio 3 : 2. Example 2: The 4 vertices of a parallelogram are A(-2, 3), B(3, -1), C(p, q) and D(-1, 9). Find the value of p and q.10-Nov-2020

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Answer 2

Answer:

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{AnSwEr} }}}$

Section Formula :

The section formula helps in determining the coordinates of a point which facilitates division of the line joining two points in a ratio. This takes place either internally or externally.

Formula :

$\red{ \boxed{\sf{\bigg(\dfrac{m_1x_2 + m_2x_1}{m_2 + m_1} , \dfrac{m_1y_2 + m_2y_1}{m_2m_1}\bigg)}}}$

Example :

By using the section formula, find out coordinates of the points which divide the line segment joining the points (8, -3) and (16, 5) in the internal ratio 3:1.

Solution:

Given: Coordinates of the endpoints of the line segment: (8, -3) and (16, 5)

Internal ratio = 3:1