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To divide a line segment LM in the ratio a : b, where a and b are positive integers, draw a ray LX so that ∠MLX is an acute angle and then mark points on the ray LX at equal distances such that the minimum number of these points is :
- a)greater of a and b
- b)a + b
- c)ab
- d)a + b – 1
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
To divide a line segment LM in the ratio a : b, where a and b are posi...
According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., a + b
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To divide a line segment LM in the ratio a : b, where a and b are posi...
It intersects the line segment LM at a point X. Then, measure the length of the entire line segment LM and divide it into a total of a + b equal parts.
Starting from point L, count a of those equal parts and mark that point as M1. Then, count b of those equal parts and mark that point as M2. The line segment LM is now divided in the ratio a : b, with point M1 dividing it in the ratio a : a+b and point M2 dividing it in the ratio a+b : b.
Here is a step-by-step guide:
1. Draw a line segment LM.
2. Draw a ray LX starting from point L and extending beyond point M.
3. Measure the length of line segment LM and divide it into a + b equal parts.
4. Starting from point L, count a of those equal parts and mark that point as M1.
5. Count b of those equal parts starting from point M1 and mark that point as M2.
6. The line segment LM is now divided in the ratio a : b, with point M1 dividing it in the ratio a : a+b and point M2 dividing it in the ratio a+b : b.
Note: Make sure to use a ruler and be as accurate as possible when measuring and marking the points.
Starting from point L, count a of those equal parts and mark that point as M1. Then, count b of those equal parts and mark that point as M2. The line segment LM is now divided in the ratio a : b, with point M1 dividing it in the ratio a : a+b and point M2 dividing it in the ratio a+b : b.
Here is a step-by-step guide:
1. Draw a line segment LM.
2. Draw a ray LX starting from point L and extending beyond point M.
3. Measure the length of line segment LM and divide it into a + b equal parts.
4. Starting from point L, count a of those equal parts and mark that point as M1.
5. Count b of those equal parts starting from point M1 and mark that point as M2.
6. The line segment LM is now divided in the ratio a : b, with point M1 dividing it in the ratio a : a+b and point M2 dividing it in the ratio a+b : b.
Note: Make sure to use a ruler and be as accurate as possible when measuring and marking the points.
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To divide a line segment LM in the ratio a : b, where a and b are positive integers, draw a ray LX so that∠MLXis an acute angle and then mark points on the ray LX at equal distances such that the minimum number of these points is :a)greater of a and bb)a + bc)abd)a + b – 1Correct answer is option 'B'. Can you explain this answer?
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