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Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 is
- a)1 unit
- b)5/3 units
- c)10/3 units
- d)3 units
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 2...
3x + 4y - 15 = 0
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Or 9x + 12y - 45 = 0 --------- (1)
and 9x + 12y - 20 = 0 --------- (2)
The distance between two parallel lines
ax + by + c1 = 0 and ax + by + C2 = 0 is
= 25/15 = 5/3 units
Most Upvoted Answer
Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 2...
Distance between parallel lines
Given equations:
1. 3x + 4y - 15 = 0
2. 9x + 12y - 20 = 0
Finding the distance:
To find the distance between two parallel lines, we use the formula:
Distance = |c2 - c1| / √(a^2 + b^2)
Where c1 and c2 are constants in the equations ax + by + c = 0.
Calculations:
1. For the first equation (3x + 4y - 15 = 0):
a1 = 3, b1 = 4, c1 = -15
2. For the second equation (9x + 12y - 20 = 0):
a2 = 9, b2 = 12, c2 = -20
Plugging the values into the formula:
Distance = |(-20) - (-15)| / √(9^2 + 12^2)
Distance = |5| / √(81 + 144)
Distance = 5 / √225
Distance = 5 / 15
Distance = 1/3 units
Therefore, the distance between the parallel lines is 5/3 units. Option B is the correct answer.
Given equations:
1. 3x + 4y - 15 = 0
2. 9x + 12y - 20 = 0
Finding the distance:
To find the distance between two parallel lines, we use the formula:
Distance = |c2 - c1| / √(a^2 + b^2)
Where c1 and c2 are constants in the equations ax + by + c = 0.
Calculations:
1. For the first equation (3x + 4y - 15 = 0):
a1 = 3, b1 = 4, c1 = -15
2. For the second equation (9x + 12y - 20 = 0):
a2 = 9, b2 = 12, c2 = -20
Plugging the values into the formula:
Distance = |(-20) - (-15)| / √(9^2 + 12^2)
Distance = |5| / √(81 + 144)
Distance = 5 / √225
Distance = 5 / 15
Distance = 1/3 units
Therefore, the distance between the parallel lines is 5/3 units. Option B is the correct answer.
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Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 isa)1 unitb)5/3 unitsc)10/3 unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer?
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Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 isa)1 unitb)5/3 unitsc)10/3 unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 isa)1 unitb)5/3 unitsc)10/3 unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 isa)1 unitb)5/3 unitsc)10/3 unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer?.
Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 isa)1 unitb)5/3 unitsc)10/3 unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 isa)1 unitb)5/3 unitsc)10/3 unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Distance between the parallel lines 3x + 4y – 15 = 0 and 9x + 12y – 20 = 0 isa)1 unitb)5/3 unitsc)10/3 unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer?.
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