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Overview: Coordinate Geometry Video Lecture | Olympiad Preparation for Class 10

FAQs on Overview: Coordinate Geometry Video Lecture - Olympiad Preparation for Class 10

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 the use of algebraic equations to represent points, lines, and curves on a coordinate plane.
2. How is the coordinate plane divided?
Ans. The coordinate plane is divided into four quadrants. The first quadrant is in the upper right, the second quadrant is in the upper left, the third quadrant is in the lower left, and the fourth quadrant is in the lower right.
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: Distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
4. What is the slope of a line in coordinate geometry?
Ans. The slope of a line in coordinate geometry represents the steepness of the line. It is found by calculating the change in y-coordinates divided by the change in x-coordinates between two points on the line. The slope can be positive, negative, or zero.
5. How do you find the equation of a line in coordinate geometry?
Ans. To find the equation of a line in coordinate geometry, you need to know the slope of the line and the coordinates of a point on the line. You can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
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