Question

A vertex of square is $\left(3,4\right)$ and diagonal $x+2y=1$, then the second diagonal which passes through given vertex will be

• A. $2x–y+2=0$
• B. $x+2y=11$
• C. $2x–y=2$
• D. none of these

Answer 1

The correct option is C

$2x–y=2$

Explanation for correct option:

Step-1: Express the given data.

Given, one diagonal of the square is $x+2y=1$ and other diagonal is passing through the vertex $\left(3,4\right)$.

Therefore, slope of the first diagonal is $-\frac{1}{2}$.

Step-2: Apply concept of equation of line passing through point $\left(x_1,y_1\right)$ ans slope $m$ is $\left(y-y_1\right)=m\left(x-x_1\right)$.

$\Rightarrow$ $y-4=2\left(x-3\right)$

$\Rightarrow$$2x-y=2$

Hence, option $\left(C\right)$ is correct.