FAQs on Advanced Example 12 and 13: Coordinate Geometry

Question 1

1. What is coordinate geometry?

Accepted Answer

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.

Question 2

2. How are coordinates represented in coordinate geometry?

Accepted Answer

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.

Question 3

3. What is the distance formula in coordinate geometry?

Accepted Answer

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.

Question 4

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

Accepted Answer

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.

Question 5

5. What is slope in coordinate geometry?

Accepted Answer

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)

Advanced Example 12 and 13 Coordinate Geometry Video Lecture - Quantitative

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