﻿ 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. : Kaysons Education

# 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

### 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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