Q. 44.0( 33 Votes )

What are the points on the y-axis whose distance from the line is 4 units.

Answer :

The given line can be written as 4x + 3y -12 = 0


On comparing equation (1) to the general equation of line Ax + By + C = 0, we get,


A = 4 , B = 3 and C = -12.


It is known that the perpendicular distance (d) of the line Ax + By + C = 0 from a point


(x1, y1) is given by



Therefore, if (0,b) is the point on the y – axis whose distance from line is 4 units, then,




⇒ 20 = |3b – 12|


⇒ 20 = (3b – 12)


⇒ 20 = (3b – 12) or 20 = -(3b-12)


⇒ 3b = 20 +12 or 3b = -20 +12



Therefore, the required points are

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