Consider the following statements: 1. The distance between the lines y=mx+c_1 and y=mx+c_{2}\text{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\text{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? [NDA II 2018]

Correct Answer is : 2 and 3 only

UPSC NDA II 2018 Mathematics Solved Paper

Question : 54 of 120

Marks: +1, -0

Consider the following statements:
1. The distance between the lines y=mx+c1 and y=mx+c2‌is‌‌‌

|c1−c2|

√1−m2

2. The distance between the lines ax+by+c1 and ax+by+c2=0‌is‌‌‌

|c1−c2|

√a2+b2

3. The distance between the lines x=c and x=c2 is |c1−c2|
Which of the above statements are correct?

[NDA II 2018]

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