Q83 / 180 · COMEDK 2013 · Mathematics
Equation of the straight line making equal intercepts on the axes and passing through the point $(2,4)$ is
- A$4 x-y-4=0$
- B$2 x+y-8=0$
- Correct answerC$x+y-6=0$
- D$x+2 y-10=0$
Solution
Let the equation of line be
$$
x+y=a
$$
$$
[\therefore a=b]
$$
Now, given line passes through $(2,4)$, then
$$
\begin{aligned}
2+4 &=a \\
\Rightarrow \quad a &=6
\end{aligned}
$$
$\therefore$ Equation of line is $x+y-6=0$
Hence, the correct answer is option: 'C'.