Question

What are the points on the yaxis whose distance from the line `x/3+y/4=1`is 4 units.

Answer 1

Correct Answer - (8,0) and (-2,0)
Let the required point be P(x,o)
Given line is 4x+3y-12=0
Now, `(|4x+3xx0-12|)/(sqrt(4^(2)+3^(2)))=4 Leftrightarrow |x-3|=5 Rightarrow x-3=5 or x-3=-5 `
`Rightarrow x=8 or x=-2`