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Introduction to Coordinate Geometry Video Lecture | Mathematics (Maths) Class 9

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FAQs on Introduction to Coordinate Geometry Video Lecture - Mathematics (Maths) Class 9

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes using coordinates. It involves representing points, lines, and curves on a coordinate plane using ordered pairs of numbers.
2. How is coordinate geometry useful in real life?
Ans. Coordinate geometry has numerous real-life applications. It is used in navigation systems to determine the position of vehicles or objects. It is also used in computer graphics, architecture, engineering, and physics for designing and analyzing shapes and structures.
3. How do you find the distance between two points in 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) is given by √((x2 - x1)^2 + (y2 - y1)^2).
4. How can coordinate geometry be used to determine the midpoint of a line segment?
Ans. The midpoint of a line segment in coordinate geometry can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints of the line segment. This will give you the coordinates of the midpoint.
5. What is the slope of a line in coordinate geometry and how is it calculated?
Ans. The slope of a line in coordinate geometry represents the steepness of the line. It is calculated by taking the difference in the y-coordinates divided by the difference in the x-coordinates between any two points on the line. The formula for slope is (y2 - y1)/(x2 - x1).
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