What is the equation of plane parallel to x-axis?

Here, A, B, C are the coordinates of a normal vector to the plane, while (x, y, z) are the co – ordinates of any point through which the plane passes. Hence, By + Cz + D=0 is the general equation of a plane parallel to X – axis.

What is the equation of a line which is parallel to the x-axis and is at a distance of 6 units above?

From the Cartesian plane , we can see that above the origin , the y axis is positive . Therefore , the equation for line parallel to x – axis and 6 units above the origin is y = 6 .

What is the slope and equation of a line parallel to the x-axis passing through Point 3 7 )?

This line passing through the point (3, 7) and parallel to x-axis, cuts the y-axis at the point (0, 7). As per the formula the equation of a line parallel to x-axis and cutting the y-axis at the point (0, b) is y = b. Therefore, the equation of line parallel to the x-axis is y = 7.

What is the equation of x-axis class 9?

Answer: The equation of x-axis is y = 0. The horizontal axis in a coordinate plane is represented by the x-axis.

What is the plane perpendicular to the x-axis?

The (cartesian) equation of a plane is linear in the coordinates x and y, that is, of the form ax+by+cz+d=0. The normal direction to this plane is (a,b,c). The plane is vertical (perpendicular to the xy-plane) if c=0; it is perpendicular to the x-axis if b=c=0; and likewise for the other coordinates. …

Is x-axis a plane?

The axes may then be referred to as the X-axis, Y-axis, and Z-axis, respectively. Then the coordinate hyperplanes can be referred to as the XY-plane, YZ-plane, and XZ-plane.

Which of the following is the equation of a line parallel to Y-axis?

What is the Equation of the Line Parallel to y-axis? The equation of the y-axis is given by x = 0. The equation of the line parallel to the y-axis is x = k, where ‘k’ is any real number.

Which of the following is the equation of a line which is parallel to x-axis and is at a distance of 2 units from the origin?

The equation of a straight line parallel to x − axis at a distance 2 units from the origin is: y = 2.

What is the equation of x-axis X?

The equation of the x-axis is x=0.

Which lines in the x-y plane are perpendicular to the z axis?

Any line in the x-y plane, which can be written as ax+by+c = 0, would be perpendicular to z axis. Since the equation of a plane has the direction ratio of its normal as its coefficients, the plane equation can be written as ax+by+ d = 0 Answer verified by Toppr Upvote (0)

How do you know if a plane is parallel to the x-axis?

If a plane is parallel to the x axis, then it has 2 edges perpendicular to the y coordinate, which are parallel to the z coordinate. The other 2 edges are perpendicular to the z coordinate while being parallel to the y coordinate. How this 19-year-old earns an extra $3600 per week.

How to understand the equation of a plane in intercept form?

To be able to understand the equation of a plane in intercept form, it is important to familiarize ourselves with certain terms first, which shall help us learn this topic better. A vector, like we know it, is a quantity in the three-dimensional space that has not only magnitude but also direction.

Which points are cut by the plane on the x-axis?

A (a, 0, 0), B (0, b, 0) and C (0, 0, c) as the points which are cut by the plane on the x-axis, y-axis and z-axis respectively. Since the plane also passes through each of these three points, we can substitute them into the general equation of the plane and we have,