Question

A straight line through the point $A(3,4)$ is such that its intercepts from the axes are same. Its equation is

• A. $x+y=7$
• B. $3x-4y+7=0$
• C. $4x+3y=24$
• D. none

Answer 1

The correct option is A $x+y=7$

Let $a$ be the equal intercept made by the line from the co-ordinate axes.

Then equation of the line will be $x+y=a$.....(1).

According to the problem, the line (1) passes through $(3,4)$ then,

$3+4=a$

or, $a=7$.

So the equation of the line is $x+y=7$.