Class 10 Exam > Class 10 Questions > The graph of the equation x = 3 is:a)a...
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The graph of the equation x = 3 is:
- a)a point
- b)straight line parallel to y axis
- c)straight line passing through the origin
- d)straight line parallel to x axis
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The graph of the equation x = 3 is:a)a pointb)straight line par...
x=3 is fixed. This means the value of x is constant. So y can vary but x has only one value. For example (3,0),(3,2),(3,5) etc. So the line drawn will be parallel to y axis as y can vary.
Most Upvoted Answer
The graph of the equation x = 3 is:a)a pointb)straight line par...
Because when we draw a line over this point it is parallel to the y axis. we plot points only to draw a graph . and the question ask about the graph of that point
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The graph of the equation x = 3 is:a)a pointb)straight line par...
The equation x = 3 represents a vertical line in the coordinate plane. Let's break down the options to understand why option 'B' is correct.
Option A: A point
A point is a single location in the coordinate plane. The equation x = 3 does not represent a single point, but rather a collection of infinitely many points that lie on a line.
Option B: Straight line parallel to the y-axis (correct)
The equation x = 3 represents a vertical line parallel to the y-axis. This means that for every value of y, the corresponding x-coordinate is always 3. The line passes through all points where x = 3, such as (3, -2), (3, 0), (3, 5), and so on. The line is perfectly vertical, never intersecting the y-axis.
Option C: Straight line passing through the origin
The equation x = 3 does not pass through the origin (0, 0) because the y-coordinate can take any value. Therefore, this option is incorrect.
Option D: Straight line parallel to the x-axis
A line parallel to the x-axis would have a constant y-coordinate. However, the equation x = 3 does not restrict the y-coordinate. It can take any value, so this option is also incorrect.
In summary, the equation x = 3 represents a straight line parallel to the y-axis, passing through all points where x = 3.
Option A: A point
A point is a single location in the coordinate plane. The equation x = 3 does not represent a single point, but rather a collection of infinitely many points that lie on a line.
Option B: Straight line parallel to the y-axis (correct)
The equation x = 3 represents a vertical line parallel to the y-axis. This means that for every value of y, the corresponding x-coordinate is always 3. The line passes through all points where x = 3, such as (3, -2), (3, 0), (3, 5), and so on. The line is perfectly vertical, never intersecting the y-axis.
Option C: Straight line passing through the origin
The equation x = 3 does not pass through the origin (0, 0) because the y-coordinate can take any value. Therefore, this option is incorrect.
Option D: Straight line parallel to the x-axis
A line parallel to the x-axis would have a constant y-coordinate. However, the equation x = 3 does not restrict the y-coordinate. It can take any value, so this option is also incorrect.
In summary, the equation x = 3 represents a straight line parallel to the y-axis, passing through all points where x = 3.
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