# Exercise 4.1 Solaution FSc 2nd Year Math

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
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.
• 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.