CBSE Questions for Class 9 Maths Linear Equations In Two Variable Quiz 2 - MCQExams.com

Write of the following equation in the form $$ax + by + c = 0$$ and indicate the values of $$a, b $$ and $$c$$.
$$2x + 3y = 9.35$$
  • $$2x + 3y + (-9.35) = 0$$
  • $$2x + 4y + (-9.35) = 0$$
  • $$2x + 3y + (-9.25) = 0$$
  • $$x + 3y + (-9.35) = 0$$
If we write $$\displaystyle 3x-7y=10$$ in form of  $$\displaystyle ax+by+c=0,$$ then $$b=$$?
  • $$3$$
  • $$7$$
  • $$-7$$
  • $$10$$
Linear equation in one variable has
  • Only constant term.
  • Only one variable with power $$1$$.
  • Only one term with a variable.
  • Only one variable with any power.
Cost of one apple is 3 times the cost of an orange. Write a linear equation for the statement.
  • $$\displaystyle y=3x$$
  • $$\displaystyle y=x$$
  • $$\displaystyle y=x+3$$
  • $$\displaystyle y=x-3$$
Fill in the blank:
An equation in the form ax + by + c = 0 is called ____________ equation.
  • Non-linear
  • Linear
  • Quadratic
  • Polynomial
If we write $$\displaystyle 3x-7y=10$$ in form of  $$\displaystyle ax+by+c=0,$$ then $$c=$$?
  • $$3$$
  • $$-10$$
  • $$7$$
  • $$10$$
Which of the following is a linear equation?
  • $$2x + y = x + x^{2}$$
  • $$5x = 6x + 3y$$
  • $$3x + x^{3} - 2y$$
  • $$4x - y = y^{2}$$
Cost of one apple is 3 times the cost of an orange. This is an example of linear equation in ..... variables.
  • $$0$$
  • $$1$$
  • $$2$$
  • $$3$$
$$\displaystyle 4x+2y=16$$
Above equation is linear equation in how many variables?
  • $$1$$
  • $$2$$
  • $$3$$
  • $$0$$
The cost of a notebook $$(y)$$ is twice that of a pen $$(x)$$.
Write a linear equation to represent this statement.
  • $$\displaystyle y=x+2$$
  • $$\displaystyle y=2x$$
  • $$\displaystyle y=x$$
  • $$\displaystyle y=x-2$$
Consider the equation:
$$\displaystyle y+7x=3x-2y+28$$
How many variables are present in the linear equation?
  • One
  • Two
  • Three
  • Four
In the given equation
$$\displaystyle a=\frac { 2 }{ 3 } b+5$$
It is linear equation in ....... variables.
  • $$0$$
  • 1
  • 2
  • 3
Father's age is $$10$$ more than twice age of his son. What is the number of variables if the statement is written in the form of linear equation?
  • One
  • Two
  • Multivariable
  • Non-linear
The line $$x - 7 = 0$$ is
  • parallel to $$y$$-axis.
  • parallel to $$x$$-axis.
  • passing through the origin.
  • none of these.
Which of the following is not a linear equation?
  • $$4x - 3 = 2y + \dfrac{1}{4}$$
  • $$3x - y = 13$$
  • $$3x + \sqrt{y}^{3} = 0$$
  • $$3y = x + 9$$
Choose the option which is not a linear equation.
  • $$3x - y = 12$$
  • $$3y - x + 2 = x + 2y$$
  • $$3x - 6y = 0$$
  • $$3x^{2}-y^{4}= 12 - x^{2}$$
Gopaiah sowed wheat and paddy in two fields of total area $$5000$$ square meters. Write a linear equation 
  • $$x + y = 5000$$
  • $$x - y = 5000$$
  • $$x + y+5000=0$$
  • None of these
Which of the following is not a linear equation?
  • $$5+4x=y+3$$
  • $$x+2y=y-x$$
  • $$3-x={y}^{2}+4$$
  • $$x+y=0$$
The cost of a note book is twice the cost of a pen. If the cost of a note book is $$'x'$$ and that of a pen is $$'y'$$ then a linear equation in two variables to represent the given condition is ____.
  • $$x + 2y = 0$$
  • $$x - 2y = 0$$
  • $$2x + y = 0$$
  • $$2x - y = 0$$
The graph of the linear equation $$y=x$$ passes through the point
  • $$(\dfrac{3}{2},-\dfrac{3}{2})$$
  • $$(0,\dfrac{3}{2})$$
  • $$(1,1)$$
  • $$(-\dfrac{1}{2},\dfrac{1}{2})$$
The equation $$\sqrt{a^{2} + b^{2}} =a+b$$ is a linear equation in 2 variables
  • True
  • False
The total cost of $$2$$ shirts and $$3$$ pants is $$Rs.1000.$$ Which of the following equation represent the above statement ?
  • $$2x-3y=1000$$
  • $$2x+3y=1000$$
  • $$2x-3y+1000=0$$
  • $$3x-2y=1000$$
If a linear equation has solutions $$(-2,2), (0,0)$$ and $$(2, -2),$$ then it is of the form 
  • $$y - x = 0$$
  • $$x + y = 0$$
  • $$-2x + y = 0$$
  • $$-x + 2y = 0$$
The graph of $$y = 6$$ is a line
  • parallel to x -axis at a distance $$6$$ units from the origin
  • parallel to y -axis at a distance $$6$$ units from the origin
  • making an intercept $$6$$ on the x-axis.
  • making an intercept $$6$$ on both the axes.
The graph given below represents the linear equation $$x + y= 0.$$
1794069_a8e857490f9f4d0a88be92aa686f04e9.png
  • True
  • False
The graph of $$y = 6$$ is a line
  • parallel to $$x-$$axis & at a distance of $$6$$ units from the $$x-$$axis.
  • parallel to $$y-$$axis at a distance of $$6$$ units from the origin.
  • making an intercept $$6$$ on the $$x-$$axis.
  • making an intercept $$6$$ on both the axes.
A class has total $$60$$ students with $$x$$ girls and $$y$$ boys. The number of girls is twice the number of boys. Express these statement in the linear equations form.
  • $$x+y=60,$$ $$x=2y$$
  • $$x-y=60,$$ $$x=2y$$
  • $$x+y=60,$$ $$x=3y$$
  • None of these
State true or false:
The graph given below represents the linear equation $$x = 3$$ 

77636_5b3843c2c2cb49839b195f2dc2c897d3.png
  • True
  • False
State true or false:
The point $$(0, 3)$$ lies on the graph of the linear equation $$3x + 4y = 12.$$
  • True
  • False
Which of the following represent a line parallel to $$x$$-axis?
  • $$x + y = 3$$
  • $$2x + 3 = 7$$
  • $$2 -y-  3= y +1$$
  • $$x + 3 = 0$$
0:0:1


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