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

2. THE STRAIGHT LINES Chapter - 3 Exercise -3(F) Book: Higher Mathematics
Akkhar-patra Publications

3. Learning Outcomes After complete this chapter students can
Explain parallelism of two straight lines
2. Explain perpendicularity of two straight lines

4. 1.Condition of parallelism:
If the Lines a1x+b1y+c1=0 & a2x+b2y+c2=0 are parallel then slopes are equal i.e m1=m2 or, a1b2=a2b1
2.Condition of perpendicularity:
If the Lines a1x+b1y+c1=0 & a2x+b2y+c2=0 are perpendicular then product of two slopes equal to -1 i.e m1m2=-1or a1a2+b1b2=0
3. The parallel equation of the line ax+by+c=0 is ax+by+k=0
4. The perpendicular equation of the line ax+by+c=0 is bx-ay+k=0

5. 5. If the Lines a1x+b1y+c1=0 ,a2x+b2y+c2=0 & a3x+b3y+c3=0 are concurrent then

6. CLASS WORK
1.Show that the Straight lines 10x+11y+12=0 and 10x+11y-13=0 are parallel.
2.For what value of k the lines 5x+4y+6=0 and 3kx-4y-2=0 are perpendicular?.
3.Find the equation of the Straight line which is parallel to the line 2x-3y+4=0 and passes through the point (-2,-3)
4. Find the equation of the Straight line which is perpendicular to the line 2x-3y+4=0 and passes through the point (-2,-3)

7. EVALUATION
what is the condition of perpendicularity?
what is the condition of parallelism?

8. HOME WORK
Find the equation of the Straight line which is perpendicular to the line 2y=11x+7 and passes through the point (-2,-3)
Two Straight lines passes through the point (3,2) & makes angle 450 with the Straight line x-2y-3=0, Find their equation.
Find the equation of the Straight line which is parallel to the line 2x+11y-2=0 and passes through the point (-1,3) .

9. THANKS TO ALL
EUCLID, Father of Geometry