Class 10 Exam > Class 10 Videos > Division of a Line Segment in a Given Ratio
Division of a Line Segment in a Given Ratio Video Lecture - Class 10
FAQs on Division of a Line Segment in a Given Ratio Video Lecture - Class 10
| 1. What is division of a line segment? |  |
Ans. Division of a line segment refers to dividing a given line segment into two parts in a specific ratio. It involves finding a point on the line segment that divides it into two segments in the given ratio.
| 2. How is the division of a line segment done in a given ratio? | |
Ans. To divide a line segment in a given ratio, we use the concept of similar triangles. We draw a line parallel to the given line segment through one of its endpoints. Then, we create similar triangles by joining the other endpoint with the point where the parallel line intersects the original line segment. By using the properties of similar triangles, we can determine the required division ratio.
| 3. What is the formula for division of a line segment in a given ratio? | |
Ans. The formula for dividing a line segment in a given ratio is given by:
$$\text{Ratio of division} = \frac{\text{Length of one segment}}{\text{Length of other segment}}$$
This formula helps in determining the length of each segment when the division ratio is known.
| 4. Can the division of a line segment be done in any ratio? | |
Ans. Yes, the division of a line segment can be done in any ratio. The ratio can be a whole number, a fraction, or even an irrational number. The division ratio determines the position of the point dividing the line segment.
| 5. What are some practical applications of division of a line segment in a given ratio? | |
Ans. The division of a line segment in a given ratio has various practical applications. It is used in architecture to divide a line representing the length of a wall into desired proportions. It is also used in map-making to divide distances between different locations. Additionally, it is utilized in designing objects, such as furniture, where precise measurements and proportions are required.
Text Transcript from Video
to divide a line segment in a given
ratio we are given a line segment a B we
want to divide it in the ratio 3 is to 2
steps of construction step 1 draw any
Ray a X making an acute angle with a B
step two locate five points three plus
two is equal to five on a X such that a
a 1 is equal to a 1 a 2 is equal to a 2
a 3 is equal to a 3 a 4 is equal to a 4
a 5
step 3 join be a 5
step 4 through the point a3 draw a 3c
battle to a 5b
AC is to CB is equal to 3 is to 2
ratio we are given a line segment a B we
want to divide it in the ratio 3 is to 2
steps of construction step 1 draw any
Ray a X making an acute angle with a B
step two locate five points three plus
two is equal to five on a X such that a
a 1 is equal to a 1 a 2 is equal to a 2
a 3 is equal to a 3 a 4 is equal to a 4
a 5
step 3 join be a 5
step 4 through the point a3 draw a 3c
battle to a 5b
AC is to CB is equal to 3 is to 2
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Dec 27, 2024 Last updated |
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