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CBSE Questions for Class 10 Maths Pair Of Linear Equations In Two Variables Quiz 1 - MCQExams.com

The condition for the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 to have a unique solution is -
  • a1b2a2b1=0
  • a1b2a2b10
  • a1b1a2b2=0
  • a1b1a2b20
If ax+y=by+z=czx, then which of the following equations is true?
  • a=b+c
  • c=a+b
  • b=a×c
  • b=a+c
The point of intersection of the lines y=3x and x=3y is :
  • (3, 0)
  • (0, 3)
  • (3, 3)
  • (0, 0)
If, 1x+1y=k and 1x1y=k, then the value of y .................
  • 3
  • 4
  • Does not exist.
  • None of these
If the pair of equations has no solution, then the pair of equations is :
  • consistent
  • inconsistent
  • coincident
  • none of these
Which of the following pairs of equations represent inconsistent system?
  • 3x2y=8

    2x+3y=1
  • 3xy=8

    3xy=24
  • xy=m

    x+my=1
  • 5xy=10

    10x6y=20
If the lines are parallel, then the pair of equations has no solution. In this case, the pair of equations is ...................
  • inconsistent.
  • consistent.
  • Cannot be determined
  • None of above
State whether the given statement is true or false:
A pair of linear equations is given by a1x+b1y+c1=0 and a2x+b2y+c2=0 also a1a2=b1b2=c1c2
In this case, the pair of linear equations is consistent.
  • True
  • False
State whether the given statement is true or false:
A pair of linear equations is given by a1x+b1y+c1=0 and a2x+b2y+c2=0 and a1a2=b1b2c1c2
In this case, the pair of linear equations is inconsistent.
  • True
  • False
State true\false:
A pair of linear equations is given by a1x+b1y+c1=0 and a2x+b2y+c2=0 and a1a2b1b2.
In this case, the pair of linear equations is consistent.
  • True
  • False
If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case, the pair of equations is .................
  • Inconsistent
  • No solution
  • Consistent
  • None of the Above
State true or false:
The graph of the linear equation x+2y=7 passes through the point (0,7).
  • True
  • False
Solve, graphically, the following pairs of equations:
x5=0
y+4=0
  • x=1,y=8
  • x=5,y=4
  • x=4,y=1
  • x=0,y=1
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Assertion is incorrect but Reason is correct
If a pair of linear equations are consistent, then the lines will be
  • Parallel
  • Always Coincident
  • Intersecting
  • Coincident
Value of α for which equations
αx+3y=α3;12x+αy=α has unique solution.
  • All value of α (except 4 and -4)
  • All value of α (except 6 and -6)
  • All value of α (except 2 and -2)
  • All value of α (except 3 and -3)
Solve the following pair of linear equations using Graphical method:
x+y=8;xy=2
Then (x,y) is equal to 
  • (5,3)
  • (7,6)
  • (4,1)
  • (2,2)
A system of linear equations is given as follows :
a1x+b1y+c1=0
a2x+b2y+c2=0
Condition for two lines to have a unique solution is,
  • a1a2=b1b2
  • a1a2b1b2
  • a1a2=b1b2c1c2
  • a1a2=b1b2=c1c2
A system of linear equations is given as follows :
a1x+b1y+c1=0
a2x+b2y+c2=0
Both the lines are parallel only if,
  • a1a2=b1b2
  • a1a2=b1b2c1c2
  • a1a2=b1b2=c1c2
  • None of these
STATEMENT - 1 : If the graphs of the two equations are parallel lines, there exists no solution.
STATEMENT - 2 : The system is called an inconsistent system.
  • Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
  • Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
  • Statement - 1 is True, Statement - 2 is False
  • Statement - 1 is False, Statement - 2 is True
The solution set of x+y1=0 and 3x+3y2=0 is
  • (1,0)
  • (0, 1)
  • An empty set
  • (1, 1)
Find the solution set of the system of equations: 4x+5y=7and3x+4y=5.
  • (13,1)
  • (13,3)
  • (13,2)
  • (13,1)
The system of linear equation ax+by=6, cx+dy=8 has no solution if:
  • adbc>0
  • adbc<0
  • ad+bc=0
  • adbc=0
The cost of 9 chairs and 3 tables is Rs. 306, while the cost of 6 chairs and 3 tables is Rs.Then the cost of 6 chairs and 1 table is
  • Rs. 161
  • Rs. 162
  • Rs. 169
  • Rs. 175
Check whether the pair of equations x+3y=6, and 2x3y=12 is consistent. If so, solve graphically
  • Yes; x=6,y=0
  • No; x=6,y=0
  • Ambiguous
  • Data insufficient
The value of k for which the following system of equations has infinitely many solutions
5x+2y=k
10x+4y=3
  • 12
  • 3
  • 32
  • 1
If a pair of linear equations is inconsistent. In the below graph, the lines are _________.
447349.PNG
  • Parallel
  • Coincidence
  • Intersecting
  • Divergence
If a pair of linear equations is consistent and dependent. In the below graph, the lines are __________.
447350.PNG
  • Parallel
  • Coincident
  • Intersecting
  • none of these
Which of the following condition is true if the system of equations below is shown to be consistent and dependent?
a1x+b1y+c1=0,a2x+b2y+c2=0
  • a1a2=b1b2c1c2
  • a1a2=b1b2=c1c2
  • a1a2b1b2c1c2
  • a1a2b1b2=c1c2
The value of k for which the system kx+3y=7 and 2x5y=3 has no solution is:
  • 7 and k=314
  • 4 and k=314
  • 65 and k143
  • 65 and k143
0:0:2


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