Determine The Distance Between The Lines : 6x + 8y – 45 = 0 And 3x + 4y – 5 = 0.

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Question

Determine the distance between the lines : 6x + 8y – 45 = 0 and 3x + 4y – 5 = 0.

2.5
4.3
6.3
3.5

medium

Solution

Correct option is

3.5

Note that, two lines are parallel as their slopes are equal.

Distance between two parallel lines Ax + By + C₁ = 0 and

Ax + By + C₂ = 0 is given by:

To use this result, write the given equations as:

6x + 8y – 45 = 0 …. (i)

and 6x + 8y – 10 = 0 … (ii)

i.e. making the coefficient of x, y same in respective equations

The distance between the lines

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SIMILAR QUESTIONS

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