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
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.

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Exercise 4.1 Solaution FSc 2nd Year Math

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