Question

The equation of the straight line joining the origin to the point of intersection of $y - x + 7 = 0$ and $y + 2 x - 2 = 0$ is.

• A. $3 x + 4 y = 0$
• B. $3 x - 4 y = 0$
• C. $4 x - 3 y = 0$
• D. $4 x + 3 y = 0$

Answer 1

Answer: (D)

$4 x + 3 y = 0$

Answer 2

The intersection point of $y - x + 7 = 0$ and

$y + 2 x - 2 = 0$ is $( 3 , - 4 )$

∴Equation of straight line joining origin to $( 3 , - 4 )$ is $y - 0 = \frac { - 4 } { 3 } ( x - 0 )$ ⇒ $4 x + 3 y = 0$.