際際滷

際際滷Share a Scribd company logo

Equationofalinepart2 180803145909

Nomndeni Sibiya
Nomndeni Sibiya

1) The ortho center of a triangle with vertices along the lines x=0, y=0, and 3x-5y+7=0 is (0,0). 2) The slope-intercept form of the equation 6x+3y+5=0 is y=-2x-5/3. 3) To find the y-intercept of a line perpendicular to 3x+y=3 and passing through (2,2), set y=-3x+b and substitute the point to find b=3.

1 of 16
Download to read offline
GRADE 11 MATH GRADE 10 MATH
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)
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
Question 3 A line passes through (2,2) and is perpendicular to 3x +y=3. Find its y intercept y = - 3x + 3 m = - 3
Equationofalinepart2 180803145909
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)
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
Equationofalinepart2 180803145909
6m + 3n + 7m + 3n 9m 9n =0 4m 3n =0 4m =3n
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
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)
Slope of BC Slope of
Equation of Slope of AC
Equationofalinepart2 180803145909
Solving 1 and 2 simultaneously
FOR MORE VIDEOS , SUBSCRIBE TO MY CHANNEL

More Related Content

Equationofalinepart2 180803145909

  • 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)
  • 15. Solving 1 and 2 simultaneously
  • 16. FOR MORE VIDEOS , SUBSCRIBE TO MY CHANNEL