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If a line intercepted between the coordinate axes is trisected at a point A(4, 3),

which is nearer to x-axis, then its equation is :

Option 1)
$4x -3y=7$

Option 2)
$3x +2y=18$

Option 3)
$3x + 8y = 36$

Option 4)
$x +3y=13$

Answers (1)

best_answer

As we learned in

Selection formula -

$x= \frac{mx_{2}+nx_{1}}{m+n}$

$y= \frac{my_{2}+ny_{1}}{m+n}$

- wherein

If P(x,y) divides the line joining A(x₁,y₁) and B(x₂,y₂) in ration $m:n$

and

Intercept form of a straight line -

$\frac{x}{a}+\frac{y}{b}=1$

- wherein

$a$ and $b$ are the $x$ -intercept and $y$ -intercept respectively.

By section formula:

$\frac{2a}{3}=4\:and\: \frac{b}{3}=3$

a=6 and b=9

We get, $\frac{x}{6}+\frac{y}{9}=1$

$3x+2y=18$

Option 1)

$4x -3y=7$

This option is incorrect.

Option 2)

$3x +2y=18$

This option is correct.

Option 3)

$3x + 8y = 36$

This option is incorrect.

Option 4)

$x +3y=13$

This option is incorrect.

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prateek

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