Class 9 Math Exercise 7.2 Notes PDF – Distance Formula (FBISE & Punjab Boards)
Class 9 Math Exercise 7.2 Notes walk you through finding the exact distance between any two points on the Cartesian plane using the well‑known distance formula √[(x₂ − x₁)² + (y₂ − y₁)²]. Mastering this skill links algebra, geometry, and analytic thinking—essential for higher chapters like circle geometry and straight‑line graphs. These notes follow the FBISE SLO‑Based 2025 syllabus and mirror question styles from BISE Lahore, BISE Gujranwala, BISE Malakand, and FBISE Islamabad. Worked solutions are colour‑coded so you can visualize every step instead of crunching numbers blindly.
By the end of this exercise you will be able to:
- Apply the distance formula to integer and decimal coordinates in all four quadrants.
- Simplify square‑root expressions exactly and approximately (two‑decimal places).
- Prove whether a triangle is equilateral, isosceles, or right‑angled using side lengths from coordinates.
- Solve board‑pattern mixed questions that blend coordinate geometry with algebraic manipulation.
Why practice Class 9 Math Exercise 7.2?
- It contributes up to five marks on most annual papers.
- It lays the groundwork for circle‑radius proofs in Chapter 10.
- It sharpens spatial reasoning used in physics and computer graphics.
More Chapter 7 Notes
Exercise 7.1 Notes (Cartesian Plane)
Miscellaneous Exercise 7 Notes (Revision Sheet)
