Linear Equations in Two Variables Test

Result

Linear Equations in Two Variables Test - 26

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Weekly Quiz Competition

Question 1
1 / -0

The distance between the graphs of the equations $$y = -1$$ and $$y = 3$$ is

A
$$2$$

B
$$4$$

C
$$3$$

D
$$1$$

Solution
Question 2
1 / -0

Linear equation in one variable has

A
Only one variable with any power.

B
Only one term with a variable.

C
Only one variable with power $$1$$.

D
Only constant term.

Solution

$$\textbf{Step - 1: Defining}$$
$$\text{A linear equation is a relation between variables of degree 1. }$$
$$\text{A linear equation in one variable is a relation of a variable of power 1}$$

$$\textbf{Hence a linear equation in one variable has only one variable with power 1}$$
Question 3
1 / -0

the pair of equations $$ x=a $$ and $$ y =b $$ graphically represents line which are

A
Parallel

B
intersecting at $$ (b , a) $$

C
coincident

D
intersecting at $$ (a , b ) $$

Solution

$$ x= a $$ is the equation of straight line parallel to the y -axis at distance 'a ' from it again $$ y= b $$ is the equation of a straight line parallel to the x-axis at a distance 'b' from it.
so the pair of equations $$ x= a $$ and $$ y = b $$ graphically represents lines which are intersecting at $$ (a,b) $$
hence (d) is the correct answer.
Question 4
1 / -0

To draw graph of $$4x + 5y = 19$$, Find y when x = 1

A
4

B
3

C
2

D
-3

Solution

$$4x + 5y = 19$$
When x = 1, then y will be
$$4(1) + 5y = 19$$
$$\Rightarrow 4 + 5y = 19$$
$$\Rightarrow 5y = 19 - 4 = 15$$
$$\Rightarrow 5y = 15$$
$$\Rightarrow y = \dfrac{15}{5} = 3$$
Hence, the correct answer is 3.
Question 5
1 / -0

The name of the graph of $$y = 2x + 3$$ is called

A
Parabola

B
Hyper bola

C
Straight line

D
Bar graph

Solution
Question 6
1 / -0

Which of the following could be a graph of the function $$y = 1 /x$$?

A

B

C

D

E
Question 7
1 / -0

If point ( 4,2 ) lies on the graph of the equation 5x + aY =28 then a=?

A
8

B
4

C
20

D
2

Solution
Question 8
1 / -0

Graphical solution of x+y=2 is

A

B

C

D

Solution
Question 9
1 / -0

The equation of $$x$$-axis is ____.

A
$$x=0$$

B
$$y=0$$

C
$$x=a$$

D
$$y=a$$

Solution
Question 10
1 / -0

Draw the graph of each of the following liner equations in two variables

A
x + y = 4

B
x - y = 2

C
y = 3x

D
3 = 2x +y