MCQ Questions for Class 9 Maths Linear Equations In Two Variable Quiz 4

Find the equation for the graph above.

0%
$x = 3$
0%
$y = 3$
0%
$y = -5$
0%
$x = -5$

Explanation

The graph represents a line that is parallel to the

$x$ -axis and passes through the point

$(3, -5)$ is

$y = -5$ .

Find the equation for the graph above.

0%
$x = -2$
0%
$y = -1$
0%
$y = -2$
0%
$x = -1$

Explanation

The graph represents a line that is parallel to the

$x$ -axis and passes through the point

$(-2, -1)$ is

$y = -1$ .

Which of the following equations is linear?

0%
$y = \dfrac {3}{x}$
0%
$\sqrt {x} + y = 0$
0%
$\dfrac {1}{2}x - \dfrac {5}{8}y = 11$
0%
$y = x^{2} + 2x - 4$

Explanation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable (however, different variables may occur in different terms)

Degree of linear equation is

$1$

In first option, highest power of

$y$ is

$1$ but highest power of

$x$ is

$-1$

In second option, highest power of

$y$ is

$1$ but highest power of

$x$ is

$\dfrac{1}{2}$

In third option, highest power of

$x$ is

$1$ and highest power of

$y$ is

$1$

In fourth option, highest power of

$y$ is

$1$ but highest power of

$x$ is

$2$

Hence, option C is correct.

Which of the following is a linear equation in one variable?

0%
$2x+1=y-3$
0%
$2t-1=3t+5$
0%
$2x-1=x^{2}$
0%
$x^{2}-x+1=0$

Explanation

$\textbf{Step - 1: Checking all options}$

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

$\text{We can see that the given equation has two variables x and y in and }$

$\text{hence is not a linear equation in}$

$\text{one variable}$

$B) 2t-1=3t+5$

$\text{We can clearly see that the given equation has only one variable t and}$

$\text{hence is a linear equation in one }$

$\text{variable.}$

$C) 2x-1=x^2$

$\text{We can see that the given equation is not linear as its variable has}$

$\text{a power greater than one}$

$D) x^2-x+1=0$

$\text{We can see that the given equation is not linear as its variable has}$

$\text{a power greater than one}$

$\textbf{Thus, the equation }\mathbf{ 2t-1=3t+5}\textbf{ is a linear equation in one variable.}$

Graph of the given linear equation is:

$2y=-x+1$

Which of the following equations have graphs parallel to the

$x-$ axis?

0%
$x+6=0$
0%
$y-3=0$
0%
$x+8=0$
0%
$y+4=0$

The distance between the graphs of the equations

$y = -1$ and

$y = 3$ is

0%
$2$
0%
$4$
0%
$3$
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$1$

$\textbf{State whether the statement is True or False.}$
If

$9$ is the solution of variable

$x$ in the equation

$\dfrac{5x-7}{2}=y$ , then the value of

$y$ is

$28$ .

0%
True
0%
False

Explanation

Given that,

$x=9$ is solution of

$x$ in

$y=\dfrac{5 x-7}{2}$
Now, put the value of

$x$ in of the equation. we get,

$\begin{aligned}&\quad \frac{5(9)-7}{2}=y \\&\Rightarrow \quad \frac{45-7}{2}=y \\&\Rightarrow \quad \frac{38}{2}=y \\&\Rightarrow \quad y=19\end{aligned}$

$\textbf{Hence the given Statement is False.}$

the pair of equations

$x=a$ and

$y =b$ graphically represents line which are

0%
Parallel
0%
intersecting at $(b , a)$
0%
coincident
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intersecting at $(a , b )$

Explanation

$x= a$ 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.

The coordinates of points in the table:

Represent the solutions of the equation

$x - y + 2 = 0$

0%
True
0%
False

Explanation

The points

$(0,2), (1,3), (2,4)$ and

$(4,6)$ satisfy the given equation

$x - y + 2 = 0.$

Each of these points is the solution of the equation

$x - y + 2- 0.$

But, in the equation if we put

$(3,-5)$ i.e

$3-(-5) + 2 = 0,$ i.e.,

$3 + 5 = 0$ or

$10 \neq 0,$ it does not satisfy the equation, So, it is false.

hence, the given statement false, since the point

$(3,-5)$ does not satisfy the given equation

Linear equation in one variable has

0%
Only one variable with any power.
0%
Only one term with a variable.
0%
Only one variable with power $1$ .
0%
Only constant term.

Explanation

$\textbf{Step - 1: Defining}$

$\text{A linear equation is a relation between variables of degree 1. }$

$\text{A linear equation in one variable is a relation of a variable of power 1}$

$\textbf{Hence a linear equation in one variable has only one variable with power 1}$

State weather the statement is true(T) or false (F):
Two different equations can never have the same answer.

0%
True
0%
False

Explanation

False,

Two different equations may have the same answer.

eg.

$2x+1=2$ and

$2x-5=-4$ are the two linear equations whose solutions are

$\cfrac12$ .

To draw graph of

$4x + 5y = 19$ , Find y when x = 1

0%
4
0%
3
0%
2
0%
-3

Explanation

$4x + 5y = 19$
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.
1812118_1850742_ans_ed1b06478f754b5ea57a13315c1495a4.png

The name of the graph of

$y = 2x + 3$ is called

0%
Parabola
0%
Hyper bola
0%
Straight line
0%
Bar graph

Which of the following could be a graph of the function

$y = 1 /x$ ?

Read the following statements carefully and select the correct option.
Statement-I : The graph of the linear equation

$x + 2y = 6$ passes through

$(8, -1)$ .
Statement II : Every point which satisfies the linear equation is a solution of the equation.

0%
Both Statement-I and Statement-II are true.
0%
Only Statement-I is true.
0%
Only Statement-II is true.
0%
Neither Statement-I nor Statement-II are true.

Explanation

Consider statement I:

Put the given point in equation,

$8+2(-1)=8-2=`6=RHS$

Hence given point satisfies the equation of line.

Hence statement I is true

Consider statement II:

Every point lying on the line satisfies the equation of line

As we see from statement I that the point that satisfies the equation of the line is a solution.

Hence statement II is true

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

0%
8
0%
4
0%
20
0%
2

Graphical solution of x+y=2 is

The equation of

$x$ -axis is ____.

0%
$x=0$
0%
$y=0$
0%
$x=a$
0%
$y=a$

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

0%
x + y = 4
0%
x - y = 2
0%
y = 3x
0%
3 = 2x +y

If m and b are real nubers and mb>0, then the line whose equation y =mx+b cannot contain point.

0%
(0, 2009)
0%
(2009, 0)
0%
(0, -2009)
0%
(20, -100)

The graph

$y=3$ is __________________.

0%
the $x$ -axis
0%
the $y$ -axis
0%
a line parallel to the $x$ - axis
0%
a line parallel to the $y$ - axis

Which of the equation given below have graphs parallel to the X-axis and which ones have graphs parallel to the Y-axis?

0%
$x = 3$
0%
$y - 2 = 0$
0%
$x + 6 = 0$
0%
$y = - 5$

The graph is shown, then the number of solutions of f(f(x))=2 will be

0%
1
0%
2
0%
3
0%
4

The number of values of z which satisfies both the equation

$\left|x-1-i \right|=\sqrt{2}$ and

$\left|x-1-i \right|={2}$ , is

0%
1
0%
0
0%
2
0%
infinitely many

CBSE Questions for Class 9 Maths Linear Equations In Two Variable Quiz 4 - MCQExams.com

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Practice Class 9 Maths Quiz Questions and Answers

CBSE Questions for Class 9 Maths Linear Equations In Two Variable Quiz 4 - MCQExams.com

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Practice Class 9 Maths Quiz Questions and Answers

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