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A straight line through the point $A(3,4)$ is such that its intercept between the axes is bisected at $A$ . Its equation is,

Option 1)
$x+y=7$

Option 2)
$3x-4y+7=0$

Option 3)
$4x+3y=24$

Option 4)
$3x+4y=25$

Answers (1)

As we learnt in

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.

$\frac{a+0}{2}=3$ $\Rightarrow$ a = 6

$\frac{b+0}{2}=4$ $\Rightarrow$ b = 8

$\frac{x}{6}+\frac{y}{8}=1$

$4x+3y=24$

Option 1)

$x+y=7$

This is incorrect option

Option 2)

$3x-4y+7=0$

This is incorrect option

Option 3)

$4x+3y=24$

This is correct option

Option 4)

$3x+4y=25$

This is incorrect option

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