You have got a compass and a straight-edge (un-marked ruler). Each tim...
For 1st line ₹1 for the perpendicular line, we need to mark 4 arcs i.e. ₹80. Now we will draw 1 line by joining the arc
∴ ₹82 for a pair.
∴ 1000/82 = 12.195 (approx..)
= 12 pairs
# → Question has different answers considering two different language segments.
You have got a compass and a straight-edge (un-marked ruler). Each tim...
Analysis:
To solve this problem, we need to find the maximum number of pairs of perpendicular lines that can be constructed using a compass and a straight-edge within the given budget of Rs. 1000.
Understanding the Costs:
We are given that each time we use the compass, we have to pay Rs. 20, and each time we use the ruler, we have to pay Re. 1.
Calculating the Maximum Number of Pairs of Perpendicular Lines:
To find the maximum number of pairs of perpendicular lines, we need to determine how many times we can use the compass and ruler within the given budget.
Cost of Drawing a Pair of Perpendicular Lines:
To draw a pair of perpendicular lines, we need to draw two lines that intersect at a right angle.
Using the Compass:
To draw an arc using the compass, we need to pay Rs. 20. Since we need to draw two arcs to form a pair of perpendicular lines, the cost of using the compass for a pair of perpendicular lines is Rs. 40.
Using the Ruler:
To draw a line using the ruler, we need to pay Re. 1. Since we need to draw two lines to form a pair of perpendicular lines, the cost of using the ruler for a pair of perpendicular lines is Re. 2.
Total Cost for a Pair of Perpendicular Lines:
The total cost for a pair of perpendicular lines is the sum of the costs of using the compass and the ruler, which is Rs. 42 (Rs. 40 for the compass and Re. 2 for the ruler).
Calculating the Maximum Number of Pairs:
To find the maximum number of pairs of perpendicular lines that can be constructed within the given budget of Rs. 1000, we divide the total budget by the cost of a pair of perpendicular lines.
1000 / 42 = 23.81
Since we cannot have a fraction of a pair of perpendicular lines, the maximum number of pairs of perpendicular lines that can be constructed is 23.
Answer: Option A) 12