Which statement is correct about the lines (x=2) and (x=8)?
Answer and explanation
Correct answer: Both are parallel
The governing concept is the geometric form of a linear equation. An equation x=c represents a vertical line containing all points whose x-coordinate is c. Thus x=2 and x=8 are both vertical lines, but they are at different horizontal positions. Since one point cannot have x-coordinate 2 and 8 at the same time, the two lines have no common point. Distinct vertical lines never meet, so they are parallel; option D is correct. They are not intersecting because there is no solution to x=2 and x=8 together. They do not coincide because their constants differ, and neither is the x-axis, whose equation is y=0.
Frequently asked questions
What is the correct answer to this question?
Both are parallel
Why is this the correct answer?
The governing concept is the geometric form of a linear equation. An equation x=c represents a vertical line containing all points whose x-coordinate is c. Thus x=2 and x=8 are both vertical lines, but they are at different horizontal positions. Since one point cannot have x-coordinate 2 and 8 at the same time, the two lines have no common point. Distinct vertical lines never meet, so they are parallel; option D is correct. They are not intersecting because there is no solution to x=2 and x=8 together. They do not coincide because their constants differ, and neither is the x-axis, whose equation is y=0.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
