Coordinate geometry:
The chapter 'Coordinate geometry' is a completely scorbale chapter and it covers six marks in board exam. It covers the concepts like distance formula and section formula.
Most possible variation of question types that we can expect in board exam as per previous year question paper are discussed below.
| Total marks - 6 | |
| Variation 1 | Variation 2 |
Total marks = 6
|
Total marks = 6
|
To prepare well for the board examination, it is necessary to understand the following concepts clearly.
- Distance formula - find the distance between two points.
- Section formula - find point of intersection, ratio of dividing line segment.
| Important Concept (Learning Outcomes) | Expected Question Type | Concept dealt with |
| Distance formula - to find distance between two points | Sec A, Sec B | Distance between two points |
| Distance formula - to find the vertices of polygons | Sec C , Sec D | Vertices of triangle |
| Section formula - to find the ratio of dividing the line segment, to find the point of dividing the line segment | Sec B, Sec D | Point of dividing line segment Ratio of dividing line segment |
| Section formula - Trisection, dividing line segment into four parts | Sec D, Sec E | Trisection |
Let us recall the concepts in Real Numbers:
| NAME | FORMULAS |
| DISTANCE FORMULA | \(d = \sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2}\) |
| MIDPOINT | \((x,y) = (\frac{x_{2}+x_{1}}{2},\frac{y_{2}+y_{1}}{2})\) |
| SECTION FORMULA | \((x,y) = (\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})\) |
| CENTORID | \((x,y) = (\frac{x_{3}+x_{2}+x_{1}}{3},\frac{y_{3}+y_{2}+y_{1}}{3})\) |