# A straight line through the point $\dpi{100} A(3,4)$ is such that its intercept between the axes is bisected at $\dpi{100} A$ . Its equation is, Option 1) $x+y=7$ Option 2) $3x-4y+7=0$ Option 3) $4x+3y=24$ Option 4) $3x+4y=25$

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

### Preparation Products

##### JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
##### Knockout JEE Main April 2021 (Subscription)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
##### Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
##### Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-