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Cartesian Co-ordinate System Video Lecture | Civil Engineering Optional Notes for UPSC
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FAQs on Cartesian Co-ordinate System Video Lecture - Civil Engineering Optional Notes for UPSC
| 1. What is a Cartesian coordinate system? |  |
Ans. A Cartesian coordinate system is a mathematical system that defines each point in space by a unique set of numerical coordinates. It consists of two perpendicular lines, known as the x-axis and y-axis, where the point of intersection is called the origin.
| 2. Who invented the Cartesian coordinate system? | |
Ans. The Cartesian coordinate system was invented by the French mathematician and philosopher René Descartes in the 17th century. The system revolutionized mathematics by providing a way to describe geometric shapes algebraically.
| 3. How do you plot points on a Cartesian plane? | |
Ans. To plot a point on a Cartesian plane, you first locate the origin (0,0). Then, move along the x-axis to the right if the x-coordinate is positive or to the left if it is negative. After that, move along the y-axis upwards if the y-coordinate is positive or downwards if it is negative. The point where the two values intersect is where the point is plotted.
| 4. What are the four quadrants in a Cartesian coordinate system? | |
Ans. The Cartesian coordinate system is divided into four quadrants: the first quadrant is where both the x-coordinate and y-coordinate are positive, the second quadrant is where the x-coordinate is negative and the y-coordinate is positive, the third quadrant is where both the x-coordinate and y-coordinate are negative, and the fourth quadrant is where the x-coordinate is positive and the y-coordinate is negative.
| 5. How is distance calculated between two points on a Cartesian plane? | |
Ans. The distance between two points on a Cartesian plane can be calculated using the distance formula: √((x2-x1)^2 + (y2-y1)^2), where (x1,y1) and (x2,y2) are the coordinates of the two points.
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Nov 22, 2024 Last updated |
Video Description: Cartesian Co-ordinate System for UPSC 2024 is part of Civil Engineering Optional Notes for UPSC preparation.
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