Question

What are the values of $c_1$ and $c_2$, when the following equations are represented in their standard form: $ax+by+c=0$
$\left(i\right)4y=7x-3$
$\left(ii\right)11x+2y=-2$

• A. $c_2=7or-7$ and $c_1=11or-11$.
• B. $c_1=3or-3$ and $c_2=2or-2$.
• C. $c_1=4or-4$ and $c_2=2or-2$.
• D. None of the above.

Answer 1

The correct option is B $c_1=3or-3$ and $c_2=2or-2$.

On writing equation (i) in its standard form, we get
$-7x+4y+3=0$
where $a_1=-7,b_1=4and{c}_1=3$.
The equation can also be written as
$7x-4y-3=0$
where $a_1=7,b_1=-4and{c}_1=-3$.

On writing equation (ii) in its standard form, we get
$11x+2y+2=0$
where $a_1=11,b_1=2and{c}_1=2$.
The equation can also be written as
$-11x-2y-2=0$
where $a_1=-11,b_1=-2and{c}_1=-2$.

$\therefore$ $c_1=3or-3$ and $c_2=2or-2$.