If co-ordinates of middle point of portion of a line intercepted between coordinate axes (3,2) , the

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9.Straight Line

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If the co-ordinates of the middle point of the portion of a line intercepted between coordinate axes $(3,2)$, then the equation of the line will be

A

$2x + 3y = 12$

B

$3x + 2y = 12$

C

$4x - 3y = 6$

D

$5x - 2y = 10$

Solution

(a) Obviously the coordinates of the points $A$ and $B$ are $(6, 0)$ and $(0,4)$ respectively.

therefore the equation of line $AB$ is $\frac{x}{6} + \frac{y}{4} = 1$

$ \Rightarrow 2x + 3y = 12$.

Standard 11

Mathematics

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