Q33 of 59 Page 178

If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is (3, 2), then the equation of the line will be

Let the given line meets the axes at A (a, 0) and B (0, b)


Given that (3, 2) is the midpoint




⇒ a = 6


and


⇒ b = 4


Intercept form of the line AB is



Putting the value of a and b in above equation, we get




⇒ 2x + 3y = 12


Hence, the correct option is (a)

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