Class 10 Maths Pair of Linear Equations in Two Variables with MCQ

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Class 10 Maths Pair of Linear Equations in Two Variables with MCQ


1. The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reverseD. The number is





ANSWER= D. 36

 

2. If a pair of linear equations is consistent, then the lines will be





ANSWER= D. intersecting or coincident

 

3. The pair of equations x = 0 and x = 5 has





ANSWER= C. two solutions

 

4. The pair of equation x = – 4 and y = – 5 graphically represents lines which are





ANSWER= B. intersecting at (- 4, – 5)

 

5. The graph of x = -2 is a line parallel to the





ANSWER= B. y-axis

 

6. The graph of y = 4x is a line





ANSWER= D. passing through the origin

 

7. The graph of y = 5 is a line parallel to the





ANSWER= A. x-axis

 

8. Two equations in two variables taken together are called





ANSWER= C. simultaneous equations

 

9. If am bl then the system of equations ax + by = c, lx + my = n, has





ANSWER= A. a unique solution

 

10. If in the equation x + 2y = 10, the value of y is 6, then the value of x will be





ANSWER= A. -2

 

11. The graph of the equation 2x + 3y = 5 is a





ANSWER= B. straight line

 

12. The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is





ANSWER= A. 6

 

13. The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k – 1 has infinitely many solutions is





ANSWER= A. 2

 

14. The value of k for which the equations (3k + l)x + 3y = 2; (k2 + l)x + (k – 2)y = 5 has no solution, then k is equal to





ANSWER= D. -1

 

15. The pair of equations x = a and y = b graphically represents lines which are





ANSWER= D. intersecting at (a, b)

 

16. Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are





ANSWER= B. parallel

 

17. The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have





ANSWER= C. no solution

 

18. If a pair of linear equations is consistent, then the lines will be





ANSWER= D. intersecting or coincident

 

19. The pair of equations x = 0 and x = 5 has





ANSWER= C. two solutions

 

20. The pair of equation x = – 4 and y = – 5 graphically represents lines which are





ANSWER= B. intersecting at (- 4, – 5)

 

21. One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be





ANSWER= C. -10x – 25y + 15 = 0

 

22. 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





ANSWER= D. 19/5, 6/5

 

23. The graph of x = -2 is a line parallel to the





ANSWER= B. y-axis

 

24. The graph of y = 4x is a line





ANSWER= D. passing through the origin

 

25. The graph of y = 5 is a line parallel to the





ANSWER= A. x-axis

 

26. Two equations in two variables taken together are called





ANSWER= C. simultaneous equations

 

27. If am bl then the system of equations ax + by = c, lx + my = n, has





ANSWER= A. a unique solution

 

28. If in the equation x + 2y = 10, the value of y is 6, then the value of x will be





ANSWER= A. -2

 

29. The graph of the equation 2x + 3y = 5 is a





ANSWER= B. straight line

 

30. The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is





ANSWER= A. 6

 

31. The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k – 1 has infinitely many solutions is





ANSWER= A. 2

 

32. The value of k for which the equations (3k + l)x + 3y = 2; (k2 + l)x + (k – 2)y = 5 has no solution, then k is equal to





ANSWER= D. -1

 

33. The pair of equations x = a and y = b graphically represents lines which are





ANSWER= D. intersecting at (a, b)

 

34. Asha has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively





ANSWER= D. 25 and 25

 

35. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages of the son and the father are, respectively





ANSWER= C. 6 and 36

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  1. Thank you for u supply study material with free of cost of subjects one request sir please u also provide math 5,4, marking type questions please sir

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