Question

The straight line passes through the point of inter -section of the straight lines $x + 2 y - 10 = 0$ and

$2 x + y + 5 = 0$ is.

• A. $5 x - 4 y = 0$
• B. $5 x + 4 y = 0$
• C. $4 x - 5 y = 0$
• D. $4 x + 5 y = 0$

Answer 1

Answer: (B)

$5 x + 4 y = 0$

Answer 2

From option (2) and (2),

$\left| \begin{array} { c c c } 1 & 2 & - 10 \\ 2 & 1 & 5 \\ 5 & 4 & 0 \end{array} \right| = 1 ( 0 - 20 ) - 2 ( - 25 ) - 10 ( 3 ) = 0$

Hence, option (2) is the correct answer.