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JEE Main 201226 MayOnline
Exam
JEE Main
Year
2012
Date
26 May
Mode
Online
Subject
Mathematics
Chapter
Straight Lines

JEE Main 2012 · 26 May · Online · Mathematics · Straight Lines

The line parallel to x -axis and passing through the point of...

The line parallel to xx-axis and passing through the point of intersection of lines ax+2by+3b=0a x+2 b y+3 b=0 and bx−2ay−3a=0b x-2 a y-3 a=0, where (a,b)≠(0,0)(a, b) \neq(0,0) is

Options

  1. Aabove xx-axis at a distance 2/32 / 3 from it
  2. Babove xx-axis at a distance 3/23 / 2 from it
  3. Cbelow xx-axis at a distance 3/23 / 2 from it
  4. Dbelow xx-axis at a distance 2/32 / 3 from it

Correct answer

C. below xx-axis at a distance 3/23 / 2 from it

Step-by-step solution

Given lines are a x+2 b y+3 b=0  and \text{ and }b x-2 a y-3 a=0 Since, required line is ∥\| to xx-axis \therefore x=0 We put x=0x=0 in given equation, we get 2 b y=-3 b \Rightarrow y=-32\frac{3}{2}This shows that the required line is below xx-axis at a distance of 32\frac{3}{2} from it.
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