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Published on: 26/08/2019
Linear Equations in Two Variables
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Questions + Answers key
Take MCQ Mathematics Test
1.
which of the following is a linear equation?
x2+4x-3=-(x2-1)
x2=3x+4
x+\(1\over x\)=5
(x-1)=1-x
2.
Which of the following is a linear equation in one variable?
2x+y=0
x2=5x+3
5x+y2+3
x+5=6
3.
The equation 2x=3 in two variables is of the form:
2.x+3.y=0
2.x+0.y=3
\({2\over3}.x+0.y=3\)
1.x+\(2\over3\).y=1
4.
The condition that the equation ax+by+c=0 represents a linear equation in two variables is:
a≠0, b=0
b≠0, a=0
a=0, b=0
a≠0, b≠0
5.
The general form of a linear equation in two variables is:
ax+by+c=0, where a,b,c are real numbrs and a, b≠0
ax+b=0, where a, b are real numbers and a≠b
ax2+bx+c=0, where a,b,c are real numbers and a, b≠0
None of these
6.
A linear equation in two variables has infinitely many solutions which can be represented on
a number line
a circle
a square
the Cartesian plane
7.
The equation \(x+\sqrt{2}=0\) has
no solution
infinitely many solutions
only one solution
only two solution
8.
\(\sqrt{2}y+ \sqrt{3}=0\) is
a linear equation in one variable
not a linear equation in one variable
a linear equation in two variables
none of these
9.
Is x=4, y=0, the solution of y-4=0?
10.
Does the following equation x=5y represent a straight line passing through the point (0,0)?
11.
If x represent the present age of father and y represent the present age of the son, then the statement "present age of father is 5 more than 6 times the age of son" in mathematical term equation...
12.
Total number of legs in a herd of goats and hens is 40. Represent this in the form of linear equation of two variable.
13.
In a one day cricket match, Raina and Dhoni scored 198 runs. Express this as a linear equation in two carables.
14.
An equation of the form ax+by+c=0 will be a linear equation in two variables, when a≠0, b≠0. Is it True or False?
15.
Is ox+oy+c=0, a linear equation?
1.
x-1=1-x ⇒ x=1 so a linear equation
2.
x+5=6 ⇒ x=1
3.
Evident
4.
definition
5.
ax+by+c=0, where a,b,c are real numbers and both a,b≠0.
6.
(d)
the Cartesian plane
7.
(c)
only one solution
8.
(a)
a linear equation in one variable
9.
( )
No(∵ 0-4≠0)
10.
( )
Given equation: x=5y
The point (0,0) satisfies the given equation, hence answer is yes.
11.
( )
x-6y=5
12.
( )
Let the number of goats and hens in herd are x & y respectively then
4x+2y=40
13.
( )
Let the runs scored by Raina & Dhoni are x & y respectively then,
x+y=198
14.
( )
True
15.
( )
No(∵ a,b≠0 for a linear equation)
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