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Introduction: Coordinate Geometry Video Lecture | Crash Course: Class 10

FAQs on Introduction: Coordinate Geometry Video Lecture - Crash Course: 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 representing points, lines, curves, and shapes on a coordinate plane using ordered pairs of numbers called coordinates.

2. How do you find the distance between two points in coordinate geometry?

Ans. To find the distance between two points A(x1, y1) and B(x2, y2) in coordinate geometry, we can use the distance formula. The distance formula is given by √[(x2 - x1)^2 + (y2 - y1)^2]. By substituting the coordinates of the two points into the formula, we can calculate the distance between them.

3. What is the midpoint formula in coordinate geometry?

Ans. The midpoint formula is used to find the coordinates of the midpoint between two given points. The coordinates of the midpoint M(xm, ym) between two points A(x1, y1) and B(x2, y2) can be found using the formula xm = (x1 + x2)/2 and ym = (y1 + y2)/2.

4. How do you find the slope of a line in coordinate geometry?

Ans. The slope of a line in coordinate geometry can be found using the formula (change in y)/(change in x). If we have two points P(x1, y1) and Q(x2, y2) on the line, the slope of the line passing through these points is given by (y2 - y1)/(x2 - x1). This formula represents the ratio of the vertical change to the horizontal change between the two points.

5. How do you determine if three points are collinear in coordinate geometry?

Ans. In coordinate geometry, three points A(x1, y1), B(x2, y2), and C(x3, y3) are collinear if the slope between any two pairs of points is the same. If the slopes between AB, BC, and AC are equal, then the points A, B, and C are collinear. We can find the slope between two points using the formula (y2 - y1)/(x2 - x1) and compare the slopes to determine collinearity.

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Sep 20, 2025 Last updated

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