Which statement is correct about the lines x = 5 and x = 12?
Answer and explanation
Correct answer: Both are parallel
The governing concept is the graphical form of vertical lines. An equation x = a fixes the x-coordinate while allowing every value of y, so it represents a vertical line. Thus x = 5 and x = 12 are two vertical lines with different positions. Vertical lines have the same direction and never meet when their x-values differ, so they are parallel. Option D is correct. They do not intersect because 5 cannot equal 12, and they do not coincide for the same reason. Neither line is the x-axis; the x-axis is y = 0. Therefore the other choices confuse line orientation or position.
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 graphical form of vertical lines. An equation x = a fixes the x-coordinate while allowing every value of y, so it represents a vertical line. Thus x = 5 and x = 12 are two vertical lines with different positions. Vertical lines have the same direction and never meet when their x-values differ, so they are parallel. Option D is correct. They do not intersect because 5 cannot equal 12, and they do not coincide for the same reason. Neither line is the x-axis; the x-axis is y = 0. Therefore the other choices confuse line orientation or position.
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..
