A Straight Line Passes Through (2, 3) And The Portion Of The Line Intercepted Between The Axes Is Bisected At This Point. Find Its Equation

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A straight line passes through (2, 3) and the portion of the line intercepted between the axes is bisected at this point. Find its equation


Correct option is

3x + 2y – 12 = 0

Let the required equation of the line be:


The above line meets the X–axis and Y–axis in points (a, 0) and (0, b) respectively

Now the point which bisects the join o f (a, 0) and (b, 0) has coordinates:  


But its given as ≡ (2, 3)   

So on comparing, we get a = 4, b = 6  

Substituting the values of a and b in (i), we get:


or        3x + 2y – 12 = 0 is the required equation. 



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