Coordinate Geometry: Finding Point on X-axis
A point lies on the x-axis if its vertical coordinate (the y-coordinate) is zero. The general form of a point on the x-axis is $\Large{(x, 0)}$.
Analyzing Coordinate Options
We examine each option to see which one has a y-coordinate of 0:
- Option 1: $\Large{(2, 3)}$
The y-coordinate is $3$, which is not $0$. This point does not lie on the x-axis.
- Option 2: $\Large{(2, 0)}$
The y-coordinate is $0$. This point lies on the x-axis.
- Option 3: $\Large{(1, 2)}$
The y-coordinate is $2$, which is not $0$. This point does not lie on the x-axis.
- Option 4: $\Large{(0, 4)}$
The y-coordinate is $4$, which is not $0$. The x-coordinate is $0$, so this point lies on the y-axis.
Conclusion
Based on the analysis, the point $\Large{(2, 0)}$ is the only option with a y-coordinate of $0$, meaning it lies on the x-axis.
Similar Questions
- Find the relation between x and y such that the point (x, y) is equidistant from (6, 2) and (4, 6).
- Find the area of a triangle formed by $(1, 0)$, $(-1, 0)$, $(0, 1)$.
- The points A (1, 2), B (3, 4) and C (4, 1) are the vertices of a triangle which is:
- Three straight lines $x + y - 3 = 0$, $x + y + 2 = 0$ and $3x + 3y - 7 = 0$ are:
- The image of the point $(7, 8)$ when reflected along the x-axis is:
- The equation of a straight line passing through (-2,5) and (1,3) is:
- The intercepts made by the plane $3x - 4y - 2z = 6$ with the coordinate axis are:
- Find the relation between x and y such that the point (x, y) is equidistant from (5, 3) and (4, 6).
- The distance between two points $(a \cos \alpha, 0)$ and $(0, a \sin \alpha)$ is_____.
- The area of the triangle formed by the line $2x - 4y - 7 = 0$ with the coordinate axis is:
Important Questions from Coordinate Geometry
What is the reflection of the point (-1, 5) in the line x = 1?
What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(-4, 0) and C(3, -4)?
Slope of the line AB is 4/3. Co-ordinates of points A and B are (x, -5) and (2, -3) respectively. What is the value of x?
Find the co-ordinates of the centroid of a triangle whose vertices are A(1, 4), B(7, 8) and C(10, 12).
- If x² + y² - 12x + 18y + 117 = 0, then the value of x² + y² is:
