1.
Which of these does not require the application of the principles of coordinate planes?
Correct Answer
D. Probability theory
Explanation
Probability theory does not require the application of the principles of coordinate planes. Probability theory deals with the study of random events and their likelihood, and does not involve the use of coordinate planes or geometric concepts. Instead, it focuses on concepts such as sample spaces, events, and probability distributions. Linear algebra, multivariate calculus, and differential geometry, on the other hand, all rely on the principles of coordinate planes to analyze and solve problems related to vectors, functions, curves, and surfaces in multiple dimensions.
2.
When was the idea of the first coordinate plane first published?
Correct Answer
A. 1637
Explanation
The idea of the first coordinate plane was first published in 1637.
3.
Who independently discovered the concept of coordinate plane?
Correct Answer
D. Pierre de Femat
4.
Who developed the adaptation of calculus in coordinate geometry?
Correct Answer
D. Isaac Newton
Explanation
Isaac Newton developed the adaptation of calculus in coordinate geometry. He made significant contributions to the field of mathematics, including the development of calculus, which revolutionized the study of mathematics and physics. Newton's work in calculus laid the foundation for coordinate geometry, which combines algebra and geometry to analyze geometric shapes using algebraic equations. His contributions to calculus and coordinate geometry have had a profound impact on the field of mathematics and continue to be studied and applied today.
5.
What symbol is usually used to denote the vertical axis?
Correct Answer
C. Y
Explanation
The symbol "y" is usually used to denote the vertical axis. In mathematics and graphs, the vertical axis represents the dependent variable or the variable that is being measured or observed. The "y" axis is typically perpendicular to the horizontal axis (denoted by "x") and helps to plot and interpret data in a two-dimensional coordinate system.
6.
What symbol is usually used to denote the horizontal axis?
Correct Answer
B. X
Explanation
The symbol "x" is usually used to denote the horizontal axis. This is a commonly accepted convention in mathematics and graphing. The horizontal axis represents the independent variable or the variable being measured or manipulated. Therefore, "x" is the appropriate symbol to represent it.
7.
Which of these refers to the point at which a coordinate graph crosses the x or y axis?
Correct Answer
B. Intercept
Explanation
The intercept refers to the point at which a coordinate graph crosses the x or y axis. It represents the value of either the x or y coordinate when the other coordinate is zero. In other words, it is the point where the graph intersects the axis. The intercept is often used to determine the equation of a line or the behavior of a function.
8.
Which of these refers to the slope of coordinate graphs?
Correct Answer
B. Gradient
Explanation
The slope of a coordinate graph is referred to as the gradient. The gradient represents the rate of change between two points on the graph. It indicates the steepness or incline of the line connecting the points. The gradient is calculated by dividing the change in the y-coordinate by the change in the x-coordinate. It is an essential concept in calculus and is used to determine the derivative of a function.
9.
What application of coordinate planes involves spatial data?
Correct Answer
B. Geostatistics
Explanation
Geostatistics is the application of statistical methods to analyze and interpret spatial data. It involves studying the patterns and relationships of data points in geographic space, such as the distribution of minerals in a mining site or the spread of a disease in a population. By using coordinate planes, geostatisticians can map and visualize the data, identify trends, and make predictions about the behavior of the phenomena being studied. This makes geostatistics a key tool in fields such as geology, environmental science, and urban planning.
10.
What symbol is often used to denote intercept on coordinate planes?
Correct Answer
A. C
Explanation
The symbol "c" is often used to denote the intercept on coordinate planes. This is commonly used in equations to represent the y-intercept, which is the point where a line or curve intersects the y-axis. It is denoted as (0, c), where c represents the value of the y-coordinate at the intercept point.