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Advanced Example 1 to 3: Coordinate Geometry Video Lecture | Quantitative Aptitude for SSC CGL

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FAQs on Advanced Example 1 to 3: Coordinate Geometry Video Lecture - Quantitative Aptitude for SSC CGL

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric figures using coordinate systems. It combines algebraic techniques with geometric concepts to analyze and solve problems related to points, lines, curves, and shapes in a plane or in space.
2. How is coordinate geometry useful in real life?
Ans. Coordinate geometry has various practical applications in real life. It is used in navigation systems to determine positions on maps or GPS devices. It is also applied in computer graphics and animation to create realistic images and movements. Additionally, coordinate geometry is used in engineering and architecture to design structures and analyze spatial relationships.
3. What are the different types of coordinate systems?
Ans. There are several types of coordinate systems used in coordinate geometry. The most common ones are Cartesian coordinates (also known as rectangular coordinates), polar coordinates, and spherical coordinates. Each system has its own set of rules and formulas for representing points in space.
4. How do you find the distance between two points using coordinate geometry?
Ans. To find the distance between two points in coordinate geometry, you can use the distance formula. The formula is derived from the Pythagorean theorem and states that the distance between two points (x1, y1) and (x2, y2) in a plane is given by: Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
5. Can coordinate geometry be extended to three-dimensional space?
Ans. Yes, coordinate geometry can be extended to three-dimensional space. In addition to the x and y axes used in two-dimensional coordinate systems, a third axis (z-axis) is introduced to represent the depth or height. This allows for the analysis and representation of points, lines, and shapes in three dimensions, leading to applications in physics, engineering, and computer graphics.
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