1. WELCOME TO THE HIGHER MATHEMATICS CLASS
SHIPAN CHANDRA DEBNATH ASSISTANT PROFESSOR & HEAD OF THE DEPARTMENT DEPARTMENT OF MATHEMATICS CHITTAGONG CANTONMENT PUBLIC COLLEGE

2. Which type of road this is ?
Let us see a picture
Which type of road this is ?
Which road is endless?

3. THE STRAIGHT LINES Chapter - 3 Exercise -3.3 পৃষ্ঠা-৭৫
Book: Higher Mathematics
Panjeree Publications

4. Learning Outcomes After complete this chapter students can
Explain straight lines
Sketch the graph of straight lines
Explain the Slope of straight line
Explain Different types straight lines
(Till y=mx+c )

5. Definition of Straight Line : The locus of the set of points which maintain always equal distance from two fixed points is called Straight Line.

6. Observe the following problem
Draw the graph of2x+3y=12
Solution: Here, 2x+3y=12
Find the values of y related to the values of x x 3 6 -3 y 4 2

8. Observe another problem
Sketch the Graph of4x-5y-20=0
Here 4x-5y=20
Find the values of y related to the values of x x -5
-10 5 y -4 -8
-12

9. Graph

10. Slope of the Straight line: the slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope is often denoted by the letter m. The direction of a line is either increasing, decreasing, horizontal or vertical.

11. Equation of Straight lines about Axes
Equation of x- axis is y=0
Equation of y-axis is x=0
Equation which is parallel to x axis is y=b
Equation which is parallel to y axis is x=a

12. The Equation which makes angle with the positive direction x-axis y=xtan
The Equation of st line which passes through the origin and slope is m becomes y=mx

13. A straight line which makes angle with the positive direction of x –axis and intercepts c from y axis becomes y=xtan +c
A straight line intercepts b from y-axis and slope is m the equation becomes y=mx+b

14. মূল্যায়ন
১।ঢাল কাকে বলে
২। 2x+4y=12 এর ঢাল কত?
৩। ঢাল = ০ হলে সরলরেখার সমিকরন কী হবে?
৪। 2x+4y=12 এর ঢাল কত?
৫। 2x+4y=12 রেখা x অক্ষের সাথে যে কোন উৎপন্ন করে তার মান কত?

15. ২. সরল রেখার সূত্রসমূহ শিখে আসবে।
বাড়ীর কাজ
1.2x+4y=12 এর লেখচিত্র অংকন কর এবং উহার ঢাল ও খন্ডিত অংশের দৈর্ঘ্য কত?
২. সরল রেখার সূত্রসমূহ শিখে আসবে।

16. সবাইকে ধন্যবাদ