Question

if point P on the seg AB in XY plane ,divides seg AB in the ratio m:n then write the co-ordinates of point P. 10 th classes
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Answer 1

Answer:

Section formula

Section Formula

When a point C divides a segment AB in the ratio m:n, we use the section formula to find the coordinates of that point. The section formula has 2 types. These types depend on the position of point C. It can be present between the 2 points or outside the segment.

The two types are:

Internal Section Formula

External Section Formula

Internal Section Formula

Also known as the Section Formula for Internal Division. When the line segment is divided internally in the ration m:n, we use this formula. That is when the point C lies somewhere between the points A and B. Understand the concept of Coordinate here.

The Coordinates of point C will be,

{[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}

Breaking it down, the x coordinate is (mx2+nx1)/(m+n) and the y coordinate is (my2+ny1)/(m+n)