Question

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. $2 x + y - 8 = 0$
• C. $x + y - 6 = 0$
• D. $x + 2 y - 10 = 0$

Answer 1

Answer: (C)

$x + y - 6 = 0$

Answer 2

Let the equation of line $\frac { x } { a } + \frac { y } { b } = 1$

Given $a = b$. So, equation of line is $x + y = a$ .....(i)

Line passes through (2, 4)

From equation (i), $2 + 4 = a$. So, $a = 6$.

$\therefore$ Equation of line $x + y = 6$ i.e., $x + y - 6 = 0$.