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Consider the following statements : 1....

Consider the following statements :
1. The distance between the lines
`y=mx+c_(1)` and `y=mx+c_(2)` is `(|c_(1)-c_(2)|)/sqrt(1-m^(2))`.
2. The distance between the lines `ax+by+c_(1)` and `ax+by+c_(2)=0` is `(|c_(1)-c_(2)|)/sqrt(a^(2)+b^(2))`.
3. The distance between the lines `x=c` and `x=c_(2)` is `|c_(1)-c_(2)|`. Which of the above statements are correct ?

A

`(c_(1)-c_(2))/(sqrt(m^(2)+1))`

B

`(|c_(1)-c_(2)|)/(1+sqrt(m^(2)))`

C

`(c_(1)-c_(2))/(1+sqrt(m^(2)))`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
B
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