Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to find the distance between any two parallel lines in the coordinate plane given their equations.

Q1:

What is the distance between the parallel lines π₯ β 6 π¦ + 1 1 = 0 and π₯ β 6 π¦ + 2 2 = 0 ?

Q2:

What is the distance between the parallel lines β 3 π₯ β π¦ + 5 = 0 and ( β 8 , β 7 ) + π ( β 8 , 2 4 ) ?

Q3:

Find, to the nearest hundredth, the distance between the parallel lines πΏ βΆ π₯ + 7 9 = π¦ + 1 5 = π§ β 7 β 6 1 and πΏ βΆ π₯ + 3 9 = π¦ + 1 0 5 = π§ + 1 0 β 6 2 .

Q4:

Determine the shortest distance between the two parallel lines whose equations are π¦ = 4 and π¦ = β 4 .

Q5:

Find the shortest distance between the two parallel lines with equations π¦ = 2 π₯ β 7 and π¦ = 2 π₯ + 3 .

Q6:

The distance between two parallel lines is β 3 7 . If a third line is perpendicuar to both these lines, and intersects them at the points π΄ ( π , 2 ) and π΅ ( β 1 0 , 3 ) , find all possible values of π .

Q7:

What is the distance between the parallel lines 2 π₯ + 7 π¦ β 2 2 = 0 and 2 π₯ + 7 π¦ + 4 4 = 0 ?

Q8:

What is the distance between the parallel lines 3 π₯ + 4 π¦ + 1 1 = 0 and 3 π₯ + 4 π¦ β 2 2 = 0 ?

Q9:

What is the distance between the parallel lines π₯ β 3 π¦ β 1 0 = 0 and π₯ β 3 π¦ β 2 0 = 0 ?

Donβt have an account? Sign Up