THIS VIDEO IS A SEQUEL TO MY EARLIER VIDEO EQUATION OF A LINE PART I. HERE, A FEW MORE TYPES OF PROBLEMS ON EQUATION OF A LINE ARE DISCUSSED. PROBLEMS INVOLVING ORTHOCENTER AND CIRCUMCENTER ARE ALSO DISCUSSED. THIS IS USEFUL FOR GRADE 10 AND GRADE 11 MATH STUDENTS. PROBLEMS ARE EXPLAINED IN AN EASY TO UNDERSTAND MANNER.

1. GRADE 11 MATH
GRADE 10 MATH

2. Question 1
Write the coordinates of the Ortho center of the triangle whose sides lie along the lines x =0, y = 0
And 3x – 5y +7=0
Ortho Centre is the point of intersection of
The altitudes
In this case it is (0,0)

3. Question 2
Reduce the following equation to the slope intercept form. Also find the slope and y
intercept
6x +3y +5 =0
3y =. -6x -5
y = m x + c

4. Question 3
A line passes through (2,2) and is perpendicular to 3x +y=3. Find its y intercept
y = - 3x + 3
m = - 3

6. Question 4
Find the equation of a line parallel to x – 3y + 5 = 0 and with y intercept 5
3y = x + 5
The line passes through (0, 5)

7. 3 y – 15 = x
3y – x + 15 = 0
Question 5
In what ratio is the line segment joining (1,3) and (2,7) divided by 3x + y – 9 = 0
Let the line divide the line segment in the ratio m: n

9. 6m + 3n + 7m + 3n – 9m – 9n =0
4m – 3n =0
4m =3n

10. Question 6
Find k so that the 3 lines 2x + y – 3 =0, 5 x + ky – 3 = 0 , 3x - y – 2 = 0 are concurrent
3 lines are said to be concurrent if they intersect at a point
2x + y – 3 = 0
3x –y - 2 = 0
5x = 5
x = 1 y = 1

11. Point of intersection = ( 1, 1)
Substitute in 5x + ky – 3 = 0
k = - 2
Question 7
Find the coordinates of the Ortho center of the triangle whose vertices are
(1,2), (3,-4) ,(5, -6)

12. Slope of BC
Slope of

13. Equation of
Slope of AC

15. Solving 1 and 2 simultaneously

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