What are the points on the x-axis whose perpendicular distance from the line is 4 units?
Given: perpendicular distance is 4 units and line
To find : points on the x-axis
Formula used:
We know that the length of the perpendicular from (m,n) to the line ax + by + c = 0 is given by,
D
The equation of the line is 4x + 3y - 12=0
Any point on the x-axis is given by (x,0)
Here m= x and n= 0 , a = 4 , b = 3 , c = -12 and D=4 units
D
D
|4x-12| = 4 × 5 = 20
4x - 12 = 20 or 4x - 12 = -20
4x = 20 + 12 or 4x = -20 + 12
4x = 32 or 4x = -8
x = 32/4 = 8 or x = (-8)/4 = -2
(8,0) and (2,0)are the points on the x-axis whose perpendicular distance from the line is 4 units