Find The Equation Of The Line Through (2, 3) So That The Segment Of The Line Intercepted Between The Axes Is Bisected At This Point.

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Question

Find the equation of the line through (2, 3) so that the segment of the line intercepted between the axes is bisected at this point.

easy

Solution

Correct option is

3x + 2y = 12

Let the required line segment be AB.

Let O be the origin and OA = a and OB = b.

Then the coordinates of A and B are (a, 0) and (0, b) respectively.

.

Hence the equation of the required line is

i.e., 3x + 2y = 12.

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