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Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Quiz 5 (25 MCQs)

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1. Shashank can row downstream 20 km in 2 hours, and the upstream 4 km in 2 hours. What will be the speed of rowing in still water?
2. The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is
3. What is the solution to a system of equations?
4. If x = a, y = b is the solution of the equations x + y = 5 and 2x-3y = 4, then the values of a and b are respectively
5. Does the following system have One Solution, No Solution, or Infinite Solutions. y = 4x + 8y =-5x + 3
6. For what values of a and b does the following pair of equations have an infinite numbers of solutions. 2x+3y=7, a(x+y)-b(x-y)=3a+b-2
7. The pair of equation x =-4 and y =-5 graphically represents lines which are
8. The pair of equations x = a and y = b graphically represents lines which are
9. The value of 'c' for which the equations cx-y = 2 and 6x-2y = 3 will have infinitely many solutions is .....
10. The graph of the line x = 6 is a line .....
11. If a pair of linear equations is consistent, then the lines are:
12. Solve and find the value of k for the following simultaneous equations:3h-k = 22h + k = 8
13. Which is correct statement for inconsistent equations
14. Solve the following pair of equations 2 /x-3 /y = 15 8 /x + 5 /y = 77
15. The linear equation 2x+3y=12 has
16. The sum of a two digit number and the number formed by interchanging its digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. Find the first number.
17. If 2x+3y = 12 and 3x-2y=5 then
18. If the system of equations kx-5y = 2, 6x + 2y = 7 has no solution, then k = .....
19. The ordered pair that satisfies (makes them true) all equations in the system is a called a .....
20. The pair of equations $x=2$ $y=3$
21. The equations $2x-3y+5=0$ $6y-4x=10$
22. Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour if she travels 2 km by rickshaw, and the remaining distance by bus.On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer. Find the speed of the rickshaw and of the bus.
23. Parallel lines have the same slope with a different y-intercept and how many solutions?
24. If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is .....
25. The graphs of the equations 2x+3y-2=0 and x-2y-8=0 are two lines which are .....
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