Consider the following statements: 1. The distance between the lines $\mathrm{y}=\mathrm{mx}+\mathrm{c}_1 \text { and } \mathrm{y}=\mathrm{mx}+\mathrm{c}_2 \text { is } \frac{\left|\mathrm{c}_1-\mathrm{c}_2\right|}{\sqrt{1-\mathrm{m}^2}}$ 2. The distance between the lines $a x+b y+c_1$ and $\mathrm{ax}+\mathrm{by}+\mathrm{c}_2=0$ is $\frac{\left|\mathrm{c}_1-\mathrm{c}_2\right|}{\sqrt{\mathrm{a}^2+\mathrm{b}^2}}$. 3. The distance between the lines $\mathrm{x}=\mathrm{c}$ and $\mathrm{x}=\mathrm{c}_2$ is $\left|\mathrm{c}_1-\mathrm{c}_2\right|$. Which of the above statements are correct?

• A

  1 and 2 only
• Correct answer
  B

  2 and 3 only
• C

  1 and 3 only
• D

  1,2 and 3

Hence, the correct answer is option: 'B'.