Relation between Variables and Equations

Q.

If point P lies on the line y = 2, then what is its y-coordinate?

1. 2

2. -2

3. 0

4. Cannot be determined

Q.

Find the value of k if (2, 3) lies on $2x=3y-k$

1. 3

2. 5

3. 0

4. 2

Q.

The X-coordinate or abscissa of a point is its perpendicular distance from the ______.

1. x-axis

2. y-axis

3. Origin

4. None of the above

Q.

The point of intersection of the lines x = 4 and y = -3 is ________.

1. (4, -3)

2. (4, 3)

3. (-4, 3)

4. (-4, -3)

Q.

You have been asked to plot graphs of the following equations:
Equation 1: $3x+2y=1$
Equation 2: $y-2x=2$
Fill the following tables (find p, q, r, s) which you will use to plot the graphs:
Equation 1:
$\begin{array}{ccc}x& 0& 5\\ y& p& q\end{array}$
Equation 2:
$\begin{array}{ccc}x& r& s\\ y& 0& 5\end{array}$

1. $p=2,q=7,r=2,s=3$

2. $p=3,q=\frac{1}{2},r=\frac{2}{3},s=0$

3. $p=3,q=5,r=2,s=8$

4. $p=\frac{1}{2},q=-7,r=-1,s=\frac{3}{2}$

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.
(1) 4x + 9y = 11
(2) 3x + 3y = 0

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

Q. In a linear equation $y=3x-6$, $x$ is dependent variable and $y$ is independent variable.

1. False
2. True

Q. For the equation $x=5y+3$ , $x$ is dependent and $y$ is independent.

1. False
2. True

Q. The equation $x-y+20=0$ is written as $x=y-20$ , then $x$ is dependent variable.

1. False
2. True

Q. ${}^{\prime }{\text{Variable}}^{\prime }$ means that it

1. can take only 3 values
2. can take different values
3. has a fixed value
4. can take only 2 values