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Two linear and parallel RNA strands, defined by the equations 3x – 4y + 6 = 0 and 3x – 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands is
- a)0.2
- b)1.0
- c)1.2
- d)2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two linear and parallel RNA strands, defined by the equations 3x 4y +...
Given:
Two linear and parallel RNA strands, defined by the equations 3x + 4y + 6 = 0 and 3x + 4y + 5 = 0 are hydrogen bonded together.
To find:
The distance between the two strands.
Solution:
The given equations represent two linear RNA strands. To find the distance between these strands, we need to find the perpendicular distance between them.
Step 1:
First, let's find the slope of the given lines by rearranging the equations in the slope-intercept form (y = mx + c).
Equation 1: 3x + 4y + 6 = 0
Rearranging, we get: 4y = -3x - 6
Dividing by 4, we get: y = -3/4x - 3/2
Equation 2: 3x + 4y + 5 = 0
Rearranging, we get: 4y = -3x - 5
Dividing by 4, we get: y = -3/4x - 5/4
Comparing the equations, we can see that the slopes of both lines are the same, i.e., -3/4. This indicates that the two RNA strands are parallel.
Step 2:
To find the distance between the parallel strands, we consider a point on one of the strands and find its perpendicular distance from the other strand.
Considering the point (0, -3/2) on the first strand (Equation 1), let's find its perpendicular distance from the second strand (Equation 2).
The perpendicular distance (d) can be found using the formula:
d = |ax + by + c| / √(a^2 + b^2)
Substituting the values from Equation 2, we get:
d = |3(0) + 4(-3/2) + 5| / √(3^2 + 4^2)
= |-6 + 5| / √(9 + 16)
= |-1| / √25
= 1 / 5
Therefore, the distance between the two RNA strands is 1 / 5, which is equal to 0.2.
Hence, the correct answer is option 'A' (0.2).
Two linear and parallel RNA strands, defined by the equations 3x + 4y + 6 = 0 and 3x + 4y + 5 = 0 are hydrogen bonded together.
To find:
The distance between the two strands.
Solution:
The given equations represent two linear RNA strands. To find the distance between these strands, we need to find the perpendicular distance between them.
Step 1:
First, let's find the slope of the given lines by rearranging the equations in the slope-intercept form (y = mx + c).
Equation 1: 3x + 4y + 6 = 0
Rearranging, we get: 4y = -3x - 6
Dividing by 4, we get: y = -3/4x - 3/2
Equation 2: 3x + 4y + 5 = 0
Rearranging, we get: 4y = -3x - 5
Dividing by 4, we get: y = -3/4x - 5/4
Comparing the equations, we can see that the slopes of both lines are the same, i.e., -3/4. This indicates that the two RNA strands are parallel.
Step 2:
To find the distance between the parallel strands, we consider a point on one of the strands and find its perpendicular distance from the other strand.
Considering the point (0, -3/2) on the first strand (Equation 1), let's find its perpendicular distance from the second strand (Equation 2).
The perpendicular distance (d) can be found using the formula:
d = |ax + by + c| / √(a^2 + b^2)
Substituting the values from Equation 2, we get:
d = |3(0) + 4(-3/2) + 5| / √(3^2 + 4^2)
= |-6 + 5| / √(9 + 16)
= |-1| / √25
= 1 / 5
Therefore, the distance between the two RNA strands is 1 / 5, which is equal to 0.2.
Hence, the correct answer is option 'A' (0.2).
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Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer? for IIT JAM 2025 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer?.
Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer? for IIT JAM 2025 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer?.
Solutions for Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
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Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Two linear and parallel RNA strands, defined by the equations 3x 4y + 6 = 0 and 3x 4y + 5 = 0 are hydrogen bonded together. The distance between the two strands isa)0.2b)1.0c)1.2d)2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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