Home / Class 10 Math / Ch 3 Pair of Linear Equations in Two Variables- MCQ Online Test 1 Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables- MCQ Online Test 1 Class 10 Maths
1. 4 chairs and 3 tables cost Rs.2100 and 5 chairs and 2 tables costs Rs 1750. The cost of a chair is
Rs.150 Rs.500 Rs.250 Rs.350
2. I am three times as old as my son. Five years later, I shall be two and a half times as old as my son. My present age is
50 years 15 years 45 years 20 years
3. If 2x – 3y = 11 and (a + b)x – (a + b – 3)y = 4a + b has infinite number of solutions, then
a = 9 and b = 3 a = – 9 and b = – 3 a = – 9 and b = 3 a = 9 and b = – 3
4. The system of equations 6x + 3y = 6xy and 2x + 4y = 5xy has
one unique solution many solutions no solution one solution
5. The value of ‘k’ for which the system of equations 3x + 5y = 0 and kx + 10y = 0 has a non zero solution is
2 0 8 6
6. The solution of 3x – 5y = – 16 and 2x + 5y = 31
x = – 3, y = 5 x = – 3, y = – 5 x = 3, y = 5 x = 3, y = – 5
7. If a pair of linear equation is consistent, then the lines will be
always coincident intersecting or coincident parallel always intersecting
8. If x = α and y = β is the solution of the equations x – y = 2 and x + y = 4, then
α = – 3 and β = 1 α = 3 and β = 1 α = 1 and β = 3 α = 3 and β = – 1
9. A system of two linear equations in two variables is inconsistent, if their graphs
do not intersect at any point coincide cut the x – axis intersect only at a point
10. If the system 6x – 2y = 3, kx – y = 2 has a unique solution, then
k≠4 k = 4 k≠3 k = 3
Chapter - 3 A Pair of Linear Equation in two Variables Quiz - 1 Class - 10th
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Question 1 of 10
1. Question
4 chairs and 3 tables cost Rs.2100 and 5 chairs and 2 tables costs Rs 1750. The cost of a chair is
Correct
Incorrect
Question 2 of 10
2. Question
I am three times as old as my son. Five years later, I shall be two and a half times as old as my son. My present age is
Correct
Incorrect
Question 3 of 10
3. Question
If 2x – 3y = 11 and (a + b)x – (a + b – 3)y = 4a + b has infinite number of solutions, then
Correct
Incorrect
Question 4 of 10
4. Question
The system of equations 6x + 3y = 6xy and 2x + 4y = 5xy has
Correct
Incorrect
Question 5 of 10
5. Question
The value of ‘k’ for which the system of equations 3x + 5y = 0 and kx + 10y = 0 has a non zero solution is
Correct
Incorrect
Question 6 of 10
6. Question
The solution of 3x – 5y = – 16 and 2x + 5y = 31
Correct
Incorrect
Question 7 of 10
7. Question
If a pair of linear equation is consistent, then the lines will be
Correct
Explanation: If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line. So for consistent line it has to be parallel or even they intersect at one point. If a system has no solution, it is said to be inconsistent. The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Incorrect
Explanation: If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line. So for consistent line it has to be parallel or even they intersect at one point. If a system has no solution, it is said to be inconsistent. The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Question 8 of 10
8. Question
If x = α and y = β is the solution of the equations x – y = 2 and x + y = 4, then
Correct
Incorrect
Question 9 of 10
9. Question
A system of two linear equations in two variables is inconsistent, if their graphs
Correct
Explanation: A system of two linear equations in two variables is inconsistent, if their graphs do not intersect at any point.In this case, a pair of lines represented by the system are parallel to each other. So they do not intersect each other at any point. The system is an inconsistent system of linear equations and the equations are independent.
Incorrect
Explanation: A system of two linear equations in two variables is inconsistent, if their graphs do not intersect at any point.In this case, a pair of lines represented by the system are parallel to each other. So they do not intersect each other at any point. The system is an inconsistent system of linear equations and the equations are independent.
Question 10 of 10
10. Question
If the system 6x – 2y = 3, kx – y = 2 has a unique solution, then