JEE Main 2012 Mathematics question

Mathematics Straight Lines JEE Main 2012

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

(1)above x-axis at a distance 2/3 from it
(2)above x-axis at a distance 3/2 from it
(3)below x-axis at a distance 3/2 from itCorrect
(4)below x-axis at a distance 2/3 from it

Answer: (3)

Solution

Multiplying the first by a and the second by b and adding: . Then

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Question ID VK-103692