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Advanced Example 12 and 13: Coordinate Geometry Video Lecture | Quantitative Aptitude for SSC CGL

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FAQs on Advanced Example 12 and 13: 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 a coordinate system. It involves representing points, lines, curves, and shapes on a plane using numerical coordinates.
2. How are coordinates represented in coordinate geometry?
Ans. In coordinate geometry, coordinates are represented as ordered pairs (x, y), where x represents the horizontal position and y represents the vertical position of a point on a plane. The x-coordinate is often referred to as the abscissa, while the y-coordinate is called the ordinate.
3. What is the distance formula in coordinate geometry?
Ans. The distance formula in coordinate geometry is used to find the distance between two points on a plane. It is given by the formula: distance = √[(x2 - x1)^2 + (y2 - y1)^2] where (x1, y1) and (x2, y2) are the coordinates of the two points.
4. How do you find the midpoint of a line segment in coordinate geometry?
Ans. To find the midpoint of a line segment in coordinate geometry, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are: midpoint = ((x1 + x2)/2, (y1 + y2)/2) This formula finds the average of the x-coordinates and the average of the y-coordinates to determine the midpoint.
5. What is slope in coordinate geometry?
Ans. Slope is a measure of the steepness of a line in coordinate geometry. It represents the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula: slope = (y2 - y1)/(x2 - x1)

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