General form of a pair of linear equations in 2 variables

Q.

Condition satisfied by the pair of equation $2x+3y=-5$ and $4x+6y-10=0$ is

1. ≠ = .

2. = =

3. ≠

4. = ≠

Q.

The equation $x=7$in two variables , can be written as:

1. $1.x+1.y=7$

2. $1.x+0.y=7$

3. $0.x+1.y=7$

4. $0.x+0.y=7$

Q. Convert the following equations in the general form given by:
$a_{1}x+b_{1}y+c_1=0and$
$a_{2}x+b_{2}y+c_2=0$,
and find $a_1,b_{2}and{c}_2$ respectively.
$4x+9y=11$
$3x+3y=0$

1. 3, 3, 11
2. 4, 3, 11
3. 3, 3, -11
4. 4, 3, 0

Q. What are the values of a, b and c for the equation $y=0.5x+\sqrt{7}$ when written in the standard form: $ax+by+c=0$ ?

1. $0.5,1,\sqrt{7}$
2. $0.5,1,-\sqrt{7}$
3. $0.5,-1,\sqrt{7}$
4. $-0.5,1,\sqrt{7}$

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

1. $c_2=7or-7$ and $c_1=11or-11$.
2. $c_1=3or-3$ and $c_2=2or-2$.
3. None of the above.
4. $c_1=4or-4$ and $c_2=2or-2$.

Q.

Which of the following are Pair of Linear Equation in two variables?

1. 2x + y = 2; 3x - z=2

2. 12x + 4y + 3 = 0; 4x + 4y + 4 = 0

3. x + 2 = 0; a + 2b = 0

4. x + y - 3 = 0; 4a + 2b + c = 24