The equation of the line L is 3x + 4y = 12. If a line M whose equation is 3x + 4y + k = 0 is 2 units from L, then the possible value of k is

Question

The equation of the line L is 3x + 4y = 12. If a line M whose equation is 3x + 4y + k = 0 is 2 units from L, then the possible value of k is (A) 2 (B) - 22 (C) - 2 (D) 22

Tardigrade Admin · Accepted Answer

(| k +12|/5)=2 ⇒| k +12|=10 ⇒ k =-2 or -22

Q. The equation of the line $L$ is $3 x + 4 y = 12.$ If a line M whose equation is $3 x + 4 y + k = 0$ is 2 units from $L$ , then the possible value of k is

2

- 22

- 2

22

$\frac{∣ k + 12∣}{5} = 2 \Rightarrow ∣ k + 12∣ = 10 \Rightarrow k = - 2$ or -22

Q. The equation of the line L is 3x+4y=12. If a line M whose equation is 3x+4y+k=0 is 2 units from L, then the possible value of k is

2

- 22

- 2

22

5∣k+12∣​=2⇒∣k+12∣=10⇒k=−2 or -22

Q. The equation of the line $L$ is $3 x + 4 y = 12.$ If a line M whose equation is $3 x + 4 y + k = 0$ is 2 units from $L$ , then the possible value of k is

$\frac{∣ k + 12∣}{5} = 2 \Rightarrow ∣ k + 12∣ = 10 \Rightarrow k = - 2$ or -22