What is the division of a line segment?

A line segment can be divided into ‘n’ equal parts, where ‘n’ is any natural number. For example; a line segment of length 10 cm is divided into two equal parts by using a ruler as, Mark a point 5 cm away from one end. 10 cm is divided into two 5 cm line segments.

What is internal and external division of a line?

Dividing an interval AB internally in a given ratio produces a point between A and B. External division produces a point outside the interval AB.

What is external division formula?

For External Division. P={[(mx2-nx1)/(m-n)],[(my2-ny1)/(m-n)]} Midpoint Formula. P={(x1+x2)/2,(y1+y2)/2}

Why ratio is negative in external division?

A ratio is negative when the divisor and dividend are of different sign. hilbert2 said: A ratio is negative when the divisor and dividend are of different sign. Distance can never be negative then why external division gives negative ratio.

What are internal divisions?

The division of a large unit into two or more distinct parts is the act of separating it into these parts.

How do you calculate MN section?

We have to find the coordinates of the point R which divides PQ in the ratio m : n, i.e. PR / RQ = m / n. Given the ratio, the point R can either lie between P and Q, or outside the line segment PQ.

What is Section Formula internal division?

Section formula for internal division is: P(x, y) = (mx2+nx1m+n,my2+ny1m+n) ( m x 2 + n x 1 m + n , m y 2 + n y 1 m + n ) Section formula for external division is: P(x, y) = (mx2−nx1m−n,my2−ny1m−n) ( m x 2 − n x 1 m − n , m y 2 − n y 1 m − n ) Midpoint formula is: M(x, y) = (x2+x12,y2+y12) ( x 2 + x 1 2 , y 2 + y 1 2 )

How do you find 2/3 of a line segment?

To find the point that’s two-thirds of the distance from (–4,1) to the other endpoint, (8,7): Replace x1 with –4, x2 with 8, y1 with 1, y2 with 7, and k with 2/3. Subtract the values in the inner parentheses. Do the multiplication and then add the results to get the coordinates.

How do you divide a line segment externally?

If P = (x,y) P = ( x, y) lies on the extension of line segment AB A B (not lying between points A A and B B ) and satisfies AP: P B = m: n A P: P B = m: n , then we say that P P divides AB A B externally in the ratio m: n m: n. What is External Division of a Line Segment?

What is division of a line segment?

Division of a Line Segment: A point divides a line segment into two parts that may or may not be equal. We can use the section formula to find the coordinates of that point if the line segment’s coordinates are identified.

What is external division in linear equation?

When the point which divides the line segment is divided externally in the ratio m : n lies outside the line segment i.e when we extend the line it coincides with the point, then we can use this formula. It is also called External Division. If the coordinates of A and B are (x1,y1) and (x2,y2) respectively then external Section Formula is given as

When the point is divided externally?