Question

The intercept made by a line on y-axis is double to the intercept made by it on x-axis and if it passes through $(1,2),$ then its equation is

• A. $2x+y=4$
• B. $2x+y+4=0$
• C. $2x-y=4$
• D. $2x-y+4=0$

Answer 1

Answer: (A)

$2x+y=4$

Let intercept made on $x$ axis be $a$ then intercept made on $y$ axis is $2a$

Then equation of line in intercept form is

$\frac{x}{a}+\frac{y}{2a}=12x+y=2a$

It passes through $(1,2)$

$\Rightarrow 2\left(1\right)+2=2a\Rightarrow a=2$

So the equation of line is

$2x+y=2\left(2\right)$

$2x+y=4$

So option $A$ is correct