Linear Equations in Two Variables Test

Result

Linear Equations in Two Variables Test - 24

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which equation represents the line that passes through the point $$(-2, 3)$$ and is parallel to the $$x$$-axis?

A
$$x = 3$$

B
$$y = 0$$

C
$$x = 0$$

D
$$y = 3$$

Solution

The graph represents a line that is parallel to the $$x$$-axis and passes through the point $$(-2, 3)$$ is $$y = 3$$.
Question 2
1 / -0

Which equation represents the line that passes through the point $$(2, 3)$$ and is parallel to the $$y$$-axis?

A
$$x = 2$$

B
$$y = 3$$

C
$$x = 3$$

D
$$y = 2$$

Solution

The graph represents a line that is parallel to the $$y$$-axis and passes through the point $$(2, 3)$$ is $$x = 2.$$
Question 3
1 / -0

Which equation represents the line that passes through the point $$(1, 3)$$ and is parallel to the $$x$$-axis?

A
$$y = 3$$

B
$$y = 1$$

C
$$x = 1$$

D
$$x = 3$$

Solution

We know that the equation of a line parallel to the x-axis is of the form $$y=b$$ where $$b$$ is the perpendicular distance of line from the x-axis.
since $$y=b$$ passes through the point $$(1, 3)$$.
$$\implies$$ point $$(1,3)$$ lie on the line $$y=b$$
since point $$(1,3)$$ is at $$3$$ units of perpendicular distance from the x-axis
$$\implies $$ equation is $$y=3$$.
Question 4
1 / -0

Which of the following is a linear equation in $$2$$ variables?

A
$$\displaystyle { x }^{ 2 }+{ y }^{ 2 }=9$$

B
$$\displaystyle { x }^{ 2 }+{ y }^{ 2 }=0$$

C
$$\displaystyle 2x+3=y$$

D
$$\displaystyle x>y$$

Solution

The general form of a linear equation in two variable is $$ax+by+c=0$$ where $$x$$ and $$y$$ are variables and $$a,b,c$$ are constants.
Hence, the equation $$2x+3=y$$ or $$2x-y=-3$$ is a linear equation with two variables $$x$$ and $$y$$.
Question 5
1 / -0

Which equation represents the line that passes through the point $$(0, 3)$$ and is parallel to the $$x$$-axis?

A
$$x = 3$$

B
$$y = 0$$

C
$$x = 0$$

D
$$y = 3$$

Solution

General equation of a line which is parallel to $$X$$-axis is of the form $$y=a$$.
Since the line passes through the point $$(0, 3)$$ , it's equation is given by $$y = 3$$.
Question 6
1 / -0

Which equation represents the line that passes through the point $$(2, 1)$$ and is parallel to the $$ x$$-axis?

A
$$y = 2$$

B
$$y = 1$$

C
$$x = 1$$

D
$$x = 2$$

Solution

The graph represents a line that is parallel to the $$x$$-axis and passes through the point $$(2, 1)$$ is $$y = 1$$.
Question 7
1 / -0

Identify the linear equation in two variables.

A
$$2x + 3y = 1$$

B
$$2x^2 - 1 = y$$

C
$$3x^2 + 5 = y^2$$

D
$$6x^3 - 1 = 0$$

Solution

An equation in the form $$ax + by + c = 0$$ is called linear equation.
So, $$2x + 3y = 1$$ is a linear equation in two variables.

Hence, option A is correct.
Question 8
1 / -0

Which equation represents the line that passes through the point $$(5, -3)$$ and is parallel to the $$y$$-axis?

A
$$x = -3$$

B
$$y = -3$$

C
$$x = 5$$

D
$$y = 5$$
Question 9
1 / -0

Which equation represents the line that passes through the point $$(6, 2)$$ and is parallel to the $$y$$-axis?

A
$$y = 6$$

B
$$x = 2$$

C
$$x = 6$$

D
$$y = 2$$

Solution

We know that the equation of a line parallel to the y-axis is $$x=a.$$

Given: The line passes through the point $$(6, 2)$$

Hence the equation of a line that is parallel to the $$y$$-axis and passes through the point $$(6, 2)$$ is $$x = 6$$
Question 10
1 / -0

Choose the correct equation that represents the graph above.

A
$$x = 1$$

B
$$y = 1$$

C
$$y = 2$$

D
$$x = 2$$

Solution

The graph represents a line that is parallel to the $$y$$-axis and passes through the point $$(2, 1)$$ is $$x = 2$$.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Linear Equations in Two Variables Test - 24

Result

Linear Equations in Two Variables Test - 24

Score

-

Rank

-

SHARING IS CARING

Question 1

$$x = 3$$

$$y = 0$$

$$x = 0$$

$$y = 3$$

Solution

Question 2

$$x = 2$$

$$y = 3$$

$$x = 3$$

$$y = 2$$

Solution

Question 3

$$y = 3$$

$$y = 1$$

$$x = 1$$

$$x = 3$$

Solution

Question 4

$$\displaystyle { x }^{ 2 }+{ y }^{ 2 }=9$$

$$\displaystyle { x }^{ 2 }+{ y }^{ 2 }=0$$

$$\displaystyle 2x+3=y$$

$$\displaystyle x>y$$

Solution

Question 5

$$x = 3$$

$$y = 0$$

$$x = 0$$

$$y = 3$$

Solution

Question 6

$$y = 2$$

$$y = 1$$

$$x = 1$$

$$x = 2$$

Solution

Question 7

$$2x + 3y = 1$$

$$2x^2 - 1 = y$$

$$3x^2 + 5 = y^2$$

$$6x^3 - 1 = 0$$

Solution

Question 8

$$x = -3$$

$$y = -3$$

$$x = 5$$

$$y = 5$$

Question 9

$$y = 6$$

$$x = 2$$

$$x = 6$$

$$y = 2$$

Solution

Question 10

$$x = 1$$

$$y = 1$$

$$y = 2$$

$$x = 2$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.