1.

Find the points on the x-axiswhow distance from the line(1/3 + y/4)=24/4=1 are 4 units ​

Answer»

ANSWER:

The GIVEN EQUATION of LINE is

3

x

+

4

y

=1 or 4x+3y−12=0

Let (a,0) be the point on the x-axis whose DISTANCE from the given line is 4 units.

Thus, using distance formula,

4=

4

2

+3

2

∣4a+3⋅0−12∣

⇒4=

5

∣4a−12∣

⇒∣4a−12∣=20

⇒±(4a−12)=20

⇒(4a−12)=20or−(4a−12)=20

⇒4a=20+12or4a=−20+12

⇒a=8or−2

Thus, the required points on the x-axis are (−2,0) and (8,0)


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