Question

Any solution of the linear equation$2x+0y+9=0$ in two variables is of the form:

• A. $\left(-\frac{9}{2},m\right)$
• B. $\left(n,-\frac{9}{2}\right)$
• C. $\left(0,-\frac{9}{2}\right)$
• D. $\left(-9,0\right)$

Answer 1

The correct option is A

$\left(-\frac{9}{2},m\right)$

Explanation for the correct option:

Option (A) :$\left(-\frac{9}{2},m\right)$

Finding the solution of the equation:

The given equation is $2x+0y+9=0$

On solving we get,

$2x+0=-9$

$\Rightarrow 2x=-9$

$\Rightarrow x=-\frac{9}{2}$

We get the $x$-co-ordinate as $\frac{-9}{2}$

Since the equation is independent of $y$.

Therefore it will satisfy by any value of $y$;say $m$

Hence, the solution of the equation is in the form of $\left(-\frac{9}{2},m\right)$

Therefore, option (A) is the correct answer.