Question

The diagonal passing through origin of a quadrilateral formed by $x = 0 , y = 0 , x + y = 1$ and $6 x + y = 3$ is.

• A. $3 x - 2 y = 0$
• B. $2 x - 3 y = 0$
• C. $3 x + 2 y = 0$
• D. None of these

Answer 1

Answer: (A)

$3 x - 2 y = 0$

Answer 2

According to the figure, diagonal BD is passing through origin, therefore its equation is given by

$\left( y - \frac { 3 } { 5 } \right) = \frac { - ( 3 / 5 ) } { - ( 2 / 5 ) } \left( x - \frac { 2 } { 5 } \right)$ ⇒ $3 x - 2 y = 0$.