The y-axis is a vertical line in a two-dimensional or three-dimensional coordinate system. It is one of the two primary axes used to define positions of points. In a 3D system, it is perpendicular to the x-axis and z-axis. Points ...
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Parallel to the z-axis refers to lines or planes that have the same direction as the z-axis in a three-dimensional coordinate system. These objects do not intersect the z-axis and their position is constant along the x and y coordinates. ...
Geometry is a branch of mathematics that deals with shapes sizes and the properties of space. It studies points lines angles surfaces and solids. Geometry is divided into plane geometry involving flat shapes like circles and triangles and solid geometry ...
An angle is formed when two rays or lines originate from a common point called the vertex. Angles are measured in degrees or radians and classify into types such as acute, right, obtuse and reflex. Angles play a crucial role ...
Proportional refers to a relationship between two quantities where a change in one quantity results in a corresponding change in the other. If two quantities are proportional they increase or decrease at the same rate. The concept is often used ...
An acute angle is an angle that measures less than 90 degrees but greater than 0 degrees. It is one of the basic types of angles in geometry. Acute angles are commonly found in triangles and other geometric figures and ...
In three-dimensional geometry the yz-plane consists of all points where the x-coordinate is zero. Its equation is given by x = 0. Any point on this plane is represented as (0 y z). The yz-plane is perpendicular to the x-axis ...
In three-dimensional geometry the equations of the x-axis are given by y = 0 and z = 0 since all points on the x-axis have y and z coordinates equal to zero. In parametric form the x-axis is represented as ...
In Class 12 Maths Three Dimensional Geometry the reflection of a point across a plane is found by using the perpendicular distance formula. The image of a point is equidistant from the plane but on the opposite side. This concept ...
Cosines represent the ratio of the adjacent side to the hypotenuse in a right triangle. They help define wave oscillations, circular motion, and Fourier analysis. The cosine function is periodic, with a range from -1 to 1, and plays a ...