maths slides

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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