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Coordinate Geometry (Introduction & Examples) - Quantitative Aptitude Video Lecture | Quantitative Aptitude (Quant) - CAT

183 videos|150 docs|113 tests

FAQs on Coordinate Geometry (Introduction & Examples) - Quantitative Aptitude Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric figures using coordinates. It combines algebraic techniques and geometric concepts to analyze shapes and their properties on a coordinate plane.
2. 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: Distance = √((x2 - x1)^2 + (y2 - y1)^2) Where (x1, y1) and (x2, y2) are the coordinates of the two points.
3. How do you find the midpoint of a line segment in coordinate geometry?
Ans. The midpoint of a line segment in coordinate geometry can be found by using the midpoint formula. The formula is: Midpoint = ((x1 + x2)/2, (y1 + y2)/2) Where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment.
4. What is the slope of a line in coordinate geometry?
Ans. The slope of a line in coordinate geometry represents its steepness or incline. It is calculated by dividing the change in y-coordinates (vertical distance) by the change in x-coordinates (horizontal distance) between two points on the line. The formula for finding the slope is: Slope = (y2 - y1)/(x2 - x1) Where (x1, y1) and (x2, y2) are two points on the line.
5. How do you determine if two lines are parallel in coordinate geometry?
Ans. Two lines in coordinate geometry are parallel if their slopes are equal. If the slopes of two lines are the same, their lines will never intersect and are considered parallel.
183 videos|150 docs|113 tests

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