What are the points on the y-axis whose distance from the line x/3 +y/4 =1 is 4 units

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asked Feb 9, 2018 in Mathematics by Rohit Singh (61,782 points) 35 133 357
What are the points on the y-axis whose distance from the line x/3 +y/4 =1 is 4 units,

1 Answer

+1 vote
answered Feb 9, 2018 by sameer (82,980 points) 5 11 37
selected Feb 14, 2018 by sanjeev
 
Best answer

Let (0, b) be the point on the y-axis whose distance from line x/3 + y/4 =1 is 4 units.
The given line can be written as

4x + 3y – 12 = 0 ………………….… (1)
On comparing equation (1) to the general equation of line Ax + By + C = 0, we obtain
A = 4, B = 3, and C = –12.
It is known that the perpendicular distance (d) of a line Ax + By + C = 0 from a point

Therefore, if (0, b) is the point on the y-axis whose distance from line x/3 + y/4 =1 is 4 units, then:

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