Find the distance between the parellel lines 5x-3y-4=0 and10x-6y-9=0
Answers
Answered by
28
Answer:
- Distance between two parallel lines are 1/2√34
Step-by-step explanation:
Given:
- Lines : 5x - 3y - 4 = 0 and 10x - 6y - 9 = 0
To Find:
- Distance between them.
Now,
=> 5x - 3y - 4 = 0 .......(1)
=> 10x - 6y - 9 = 0 .......(2)
Now, we will multiply equation (1) by 2, to make them equal.
=> 10x - 6y - 8 = 0 .......(3)
Now, we know that
=> Distance between parallel lines = (lC₁ - C₂l)/√a² + b²
Now, put the values in the equation.
=> (l-8 + 9l)/√10² + (-6)²
=> 1/√100 + 36
=> 1/√136
=> 1/√2 × 2 × 2 × 17
=> 1/2√34.
Hence, distance between two parallel lines are 1/2√34.
Answered by
20
5x -3y - 4 = 0
10x - 6y - 9 = 0
Divide by 2
5x -3y -( 9/2) = 0
Distance :
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