**Level:** F.Sc (Pre-Engg)**Class:** 2nd Year**Board:** Punjab Textbook Board**Subject:** Mathematics**Chapter No.4:** Introduction to Analytic Geometry**Exercise:** 4.1**Type:** Solution Notes**Author:** Prof. Ahmad Ali**Pages:** 19**PDF Size:** 10.2 MB

**In this exercise we will read these topics:**

- What are the meanings of the word geometry?
- Who was the founder of geometry.
- What is Plane geometry.
- What is Solid geometry.
- What is analytic geometry?
- Define a coordinate plane and coordinate axes.
- Define abscissa and ordinate of a point.
- Define quadrants.
- State and prove distance formula.
- Distance of point P(x,y) from x-axis is |y| and from y-axis is |x|.
- Distance measured non-parallel to coordinate axes is called undirected distance.
- Distance measured parallel to the coordinate axes is called directed distance.
- State and prove the Ration formula or Division formula.
- State and prove the Ration formula/Division formula for external division.
- Derive mid-point formula from ratio formula.
- Define Median of a triangle.
- What do you mean by concurrent lines.
- Define Centroid of a triangle.
- Show that medians of a triangle are concurrent.
- What are coordinates of centroid of a triangle.
- Define angle bisector and in-center of a triangle.
- Write a formula for the in-center of a triangle.
- Show that Bisectors of angles of a triangle are concurrent.