# NCERT Class 10 Mathematics Chapter 7 Coordinate Geometry Solutions: In-Text and Exercise Questions Explained | SwaVid

This chapter introduces the fundamental concepts of Coordinate Geometry, building upon the basic understanding of plotting points on a Cartesian plane f...

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# Coordinate Geometry

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 7 · Class 10 Mathematics

This chapter introduces the fundamental concepts of Coordinate Geometry, building upon the basic understanding of plotting points on a Cartesian plane from Class IX. It covers key topics such as the distance formula, section formula, and the area of a triangle, providing algebraic tools to study geometric figures. The exercises aim to develop problem-solving skills by applying these formulas to various geometric problems, including determining collinearity of points, identifying types of triangles and quadrilaterals, and finding coordinates of points that divide a line segment in a given ratio. The optional exercise delves into more complex applications of these concepts.

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Exercise 7.1

Answer: 2√2 units

Exercise 7.2

Exercise 7.3

Exercise 7.4 (Optional)*

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- Let the given points be A(x₁, y₁) = (2, 3) and B(x₂, y₂) = (4, 1).
- The distance formula is given by d = √((x₂ - x₁)² + (y₂ - y₁)²).
- Substitute the coordinates into the formula: d = √((4 - 2)² + (1 - 3)²).
- Calculate the differences: d = √((2)² + (-2)²).
- Square the differences: d = √(4 + 4).
- Add the squared values: d = √8.
- Simplify the radical: d = 2√2 units.
- NCERT Class 10 Mathematics textbook: Mathematics : Chapter 7: Coordinate Geometry

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