CBSE Questions for Class 9 Maths Linear Equations In Two Variable Quiz 1 - MCQExams.com

Which of the following equation represents a straight line which is parallel to the $$x$$-axis and at a distance $$3$$ units below it?
  • Any line parallel to $$x$$-axis and at a distance of $$3$$ units below it is given by $$y = 9$$
  • Any line parallel to $$x$$-axis and at a distance of $$3$$ units below it is given by $$y = -3$$
  • Any line parallel to $$x$$-axis and at a distance of $$3$$ units below it is given by $$x = -3$$
  • Any line parallel to $$x$$-axis and at a distance of $$3$$ units below it is given by $$x = 0$$
State whether the given statement is true or false:
The graph of a linear equation in two variables need not be a line.
  • True
  • False
The equation $$x = 7$$, in two variables, can be written as
  • $$1 . x + 1 . y = 7$$
  • $$1. x + 0. y = 7$$
  • $$0 . x + 1 . y = 7$$
  • $$0 . x + 0 . y = 7$$
Two points with coordinates $$(2, 3)$$ and $$(2, 1)$$ lie on a line. Then $$(i)$$ the line is parallel to which axis? $$(ii)$$ Justify your answer.
  • $$(i)$$  Parallel to $$x$$-axis.

    $$(ii)$$  Since $$x$$-coordinate of both the points is $$2$$, both points lie on the line $$y = 2$$ which is parallel to $$x$$-axis.
  • $$(i)$$  Parallel to $$y$$-axis.

    $$(ii)$$  Since $$y$$-coordinate of both the points is $$2$$, both points lie on the line $$y = 2 $$ which is parallel to $$y$$-axis.
  • $$(i)$$  Parallel to $$y$$-axis.

    $$(ii)$$  Since $$x$$-coordinate of both the points is $$2$$, both points lie on the line $$x = 2$$ which is parallel to $$y$$-axis.
  • $$(i)$$  Parallel to $$x$$-axis.

    $$(ii)$$ Since $$y$$-coordinate of both the points is $$2$$, both points lie on the line $$x = 2$$ which is parallel to $$y$$-axis.
Age of $$x$$ exceeds the age of $$y$$ by 7yrs. This statement can be expressed as the linear equation as :
  • $$x + y + 7 = 0$$
  • $$x - y + 7 = 0$$
  • $$x - y - 7 = 0$$
  • $$x + y - 7 = 0$$
How many linear equations in $$x$$ and $$y$$ can be satisfied by $$x = 1$$ and $$y = 2$$?
  • Only one
  • Two
  • Infinitely many
  • Three
State whether the given statement is true or false:
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.
  • True
  • False
The condition that the equation $$ax + by + c = 0$$ represent a linear equation in two variables is :
  • $$a \neq 0, b = 0$$
  • $$b \neq 0, a = 0$$
  • $$a = 0, b = 0$$
  • $$a \neq 0, b \neq 0$$
The linear equation $$x = 5$$ in two variables can be written as :
  • $$1.x + 5 = 10$$
  • $$0.x + 1. y + ( - 5) = 0$$
  • $$1.x + 0. y + ( - 5) = 0$$
  • $$1.x + 1. y + ( - 5) = 0$$
Linear equation in one variable is :
  • $$2x = y$$
  • $$y^2 = 3y + 5$$
  • $$4x - y = 5$$
  • $$3t + 5 = 9t- 7$$
Is the following equation linear in two variables?
$$\displaystyle \frac{4}{x} + 3y = 14$$
  • Yes
  • No
  • Ambiguous
  • Data Insufficient
State true/false:
One number is 5 more than seven times the other number. It can be represented by $$x\, -\, 7y\, =\, 5$$. 
  • True
  • False
$$4x-3=0$$ is a line parallel to 
  • $$y$$ axis
  • $$x$$ axis
  • $$y=x$$ 
  • $$y=2x$$ 
Express the given information in the form of an equation in mathematical form using two variables: 
The cost of two tables and five chairs is Rs. 2200.
  • $$2x\, +\, 5y\, =\, 2200$$
  • $$x\, +\, 10y\, =\, 800$$
  • $$10x\, -\, 5y\, =\, 1800$$
  • Insufficient data
Write a linear equation in two variables to represent the following statement.
The age of Jenson is less than the age of Gibin by $$6$$ years
  • $$x + 6 = y$$, where $$x =$$ age of Jenson and $$y =$$ age of Gibin
  • $$x + 16 = y$$, where $$x =$$ age of Jenson and $$y =$$ age of Gibin
  • $$x - 6 = y$$, where $$x =$$ age of Jenson and $$y =$$ age of Gibin
  • $$x + 6 = 2y$$, where $$x =$$ age of Jenson and $$y =$$ age of Gibin
The graph of the equation $$x= b$$ is also a straight line parallel to _____.
  • $$y$$-axis
  • $$x$$-axis
  • Cannot be determined
  • Not Parallel
Write the following equation as an equation in two variables:
$$2x=-3$$
  • $$ 2x + 0y + 3 = 0$$
  • $$ 2x + 0y + 3 = 1$$
  • $$ 2x + 2y + 3 = 0$$
  • $$ 3x + 0y + 3 = 0$$
Write a linear equation in two variables to represent each of the following statement.
5 books and 7 pens together cost Rs 79.
  • 5x + 7y = 79, where x = cost of a book and y = cost of a pen.
  • 4x + 7y = 79, where x = cost of a book and y = cost of a pen.
  • 5x + 6y = 79, where x = cost of a book and y = cost of a pen.
  • 5x - 7y = 79, where x = cost of a book and y = cost of a pen.
Write the following equation as an equation in two variables:
$$3y = 4$$
  • $$0x + 3y - 4 = 0$$
  • $$0x + 2y - 4 = 0$$
  • $$0x + 3y - 5 = 0$$
  • $$2x + 3y - 4 = 0$$
A straight line parallel to the $$x$$-axis has equation 
  • $$x = a$$
  • $$y = a$$
  • $$y = x$$
  • $$y = -x$$
The graph of the equation $$y = a$$ is a straight line parallel to _____
  • $$x$$-axis
  • $$y$$-axis
  • Cannot be determined
  • Not Parallel
Write a linear equation in two variables to represent the following statement.
The cost of a pen is thrice the cost of a pencil
  • $$x = 3y,$$ where $$x =$$ cost of a pen and $$y =$$ cost of a pencil.
  • $$x = 2y,$$ where $$x =$$ cost of a pen and $$y =$$ cost of a pencil.
  • $$2x = 3y,$$ where $$x =$$ cost of a pen and $$y =$$ cost of a pencil.
  • $$x = y$$, where $$x =$$ cost of a pen and $$y =$$ cost of a pencil.
Which of the following equation is not a linear equation?
  • $$2x + 3 = 7x - 2$$
  • $$\displaystyle \frac{2}{3}x + 5 = 3x - 4$$
  • $$\displaystyle x^2 + 3 = 5x - 3$$
  • $$\displaystyle (x - 2)^2 = x^2 + 8$$
Write the following equations in the form ax + by + c = 0 
$$x - 4 = \sqrt 3 y$$
  • $$x + (- \sqrt 3)y + (-4) = 0$$
  • $$x + ( \sqrt 3)y + (-4) = 0$$
  • $$x + (- \sqrt 3)y + (4) = 0$$
  • $$2x + (- \sqrt 3)y + (-4) = 0$$
Any point on $$x$$ axis is of the form
  • $$(x,y)$$
  • $$(0,y)$$
  • $$(0,0)$$
  • $$(x,0)$$
Write the following equation in the form of $$ax + by + c = 0$$. 
$$5x - 3y = 4$$
  • $$5x + (-3)y + (-4) = 0$$
  • $$5x + (3)y + (-4) = 0$$
  • $$5x + (-3)y + (4) = 0$$
  • $$4x + (-3)y + (4) = 0$$
Write the following equations in the form $$ax + by + c = 0 $$, where $$a= -2,b=3$$ and $$c=-6$$
  • $$-2x +3y -6 = 0$$
  • $$x -3y + 6 = 0$$
  • $$2x + 3y - 6 = 0$$
  • $$2x + 3y + 6 = 0$$
Is $$5x -3y = 5$$ a linear equation in one variable?
  • Yes
  • No
  • Ambiguous
  • Data insufficient
Write the equation $$2x = y$$ in the form of $$ax + by + c = 0:$$ 
  • $$2x + (-1)y + 0 = 0$$
  • $$2x + (1)y + 0 = 0$$
  • $$2x + (-1)y + 1 = 0$$
  • $$x + (-1)y + 0 = 0$$
What is a linear equation in $$2$$ variables?
  • An equation containing $$2$$ variables raised to the power $$1$$
  • An equation in which the variables are power $$2$$
  • An expression containing $$2$$ variables
  • None of the above
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 9 Maths Quiz Questions and Answers