Question

The distance of the point A(4, 1) from the y-axis is : (A) 4 units (B) 1 unit (C) 5 units (D) root17 units​

Answer 1

Answer:

Given,x=4 and y=1

Hence,the correct answer is option A)4 units.

Hope it helps you.

Answer 2

Answer:

Let (0,b) be the point on the y-axis whose distance from line  

3

x

​

+  

4

y

​

=1 is 4 units.

The given line can be written as 4x+3y−12=0....(1)

Thus using distance formula,

4=  

4  

2

+3  

2

 

​

 

∣4(0)+3(b)−12∣

​

 

⇒4=  

5

∣3b−12∣

​

 

⇒20=∣3b−12∣

⇒20=±(3b−12)

⇒20=(3b−12) or 20=−{3b−12}

⇒3b=20+12 or 3b=−20+12

⇒b=  

3

32

​

  or  b=−  

3

8

​

 

Thus, the required points are (0,  

3

32

​

)and(0,−  

3

8

​

).

Step-by-step explanation: