How many lines are there which are parallel to Y-axis and having a distance 4 units? Write their equations.
Answers
Answer:
two lines
Step-by-step explanation:
There are exactly two lines parallel to the y-axis and having a distance of 4 units from it. One will have in the positive axis having +4 units and the other is present on the negative axis having -4 units. These two lines will be perpendicular to the x-axis and will be crossing through +4 and -4.
Given : parallel to Y- axis and having a distance 4 units from y axis
To find : number of lines
Solution:
Line parallel to y axis will be of form
x = a
Distance of line x = a from y axis ( x = 0) will be
√(a - 0)² + 0²
= √a²
= | a |
| a | = 4
=> a = ± 4
Hence x = a will be x = ± 4
so x = 4 and x = - 4
are the two lines parallel to Y- axis and having a distance 4 units from y axis
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