JEE Main 2014 Mathematics question

If a line intercepted between the coordinate axes is trisected at a point A(4, 3), which is nearer to x-axis, then its equation is:

(1)
(2)Correct
(3)
(4)

Answer: (2)

Solution

Let the line meet the axes at (a, 0) and (0, b). The trisection point nearer the x-axis divides the segment from (a, 0) to (0, b) in the ratio 1 : 2, so

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Question ID VK-104592