Class 9 Exam > Class 9 Questions > The graph of the line x = 4 passes througha)(...
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The graph of the line x = 4 passes through
- a)(4, 3)
- b)(3, 4)
- c)(0, 4)
- d)(-1, 4)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The graph of the line x = 4 passes througha)(4, 3)b)(3, 4)c)(0, 4)d)(-...
Explanation:
The equation x = 4 represents a vertical line passing through the point (4, 0) on the x-axis. Therefore, the line intersects the y-axis at (0, 0) and all points on the line have an x-coordinate of 4.
To check which point lies on this line, we can substitute x = 4 in the coordinates of each given point and see if we get a valid point on the line.
a) (4, 3): Since x = 4 and y = 3, this point lies on the line.
b) (3, 4): Since x ≠ 4, this point does not lie on the line.
c) (0, 4): Since x ≠ 4, this point does not lie on the line.
d) (-1, 4): Since x ≠ 4, this point does not lie on the line.
Therefore, the only point that lies on the line x = 4 is (4, 3).
Answer: Option A (4, 3)
The equation x = 4 represents a vertical line passing through the point (4, 0) on the x-axis. Therefore, the line intersects the y-axis at (0, 0) and all points on the line have an x-coordinate of 4.
To check which point lies on this line, we can substitute x = 4 in the coordinates of each given point and see if we get a valid point on the line.
a) (4, 3): Since x = 4 and y = 3, this point lies on the line.
b) (3, 4): Since x ≠ 4, this point does not lie on the line.
c) (0, 4): Since x ≠ 4, this point does not lie on the line.
d) (-1, 4): Since x ≠ 4, this point does not lie on the line.
Therefore, the only point that lies on the line x = 4 is (4, 3).
Answer: Option A (4, 3)
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