Class 10,Mathematics, Pair of Linear Equations in 2 Variables (Graphical Solution to Linear Equations)

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Which of the following pair of linear equations is inconsistent?

 5x – 3y =11; 7x + 2y =13

 2x + 3y = 7; 4x + 6y = 5

 9x – 8y = 17; 18x -16y = 34

 x – 2y = 6; 2x + 3y = 4

Question 1 of 20

2. The pair of linear equations x + y + 10 = 0 and x + y – 7 = 0 has:

 One solution

  Infinitely many solutions

 No solutions

 Two solutions

Question 2 of 20

3. The pair of linear equations 8x – 5y = 7 and 5x – 8y = -7 have :

 No solution

 Many solutions

 One solution

 Two solutions

Question 3 of 20

4. One equation of a pair of dependent linear equations is -5x + 7y = 2, the second equation can be :

 -10x + 14y + 4 = 0

 -10x – 14x + 4 =

 10x – 14y = -4

 10x + 14y + 4 =0

Question 4 of 20

5. Which of following is not a solution of 3a + b = 12?

  (3, 3)

 (5, -3)

 (4, 0)

 (2, 4)

Question 5 of 20

6. The number of solutions of the pair of linear equations x + 2y – 8 = 0 and 2x + 4y = 16 are:

 None

  Infinitely many

 0

 1

Question 6 of 20

7. The pair of linear equations 3x + 2y = 5 and 2x – 3y = 7 will have

  unique solution

 no solution

 infinite solution

 none of the above

Question 7 of 20

8. If the pair of equation has no solution, then the pair of equation is :

 inconsistent

 coincident

  none of these

 consistent

Question 8 of 20

9. Which of the following equation is not a linear equation?

 2a-b =1

 2a+b =1

 a+b =1

 √a+b =1

Question 9 of 20

10. A system of simultaneous linear equations has infinitely many solutions if two lines:

  are coincident

 intersect at two points

 are parallel

 intersect at one point

Question 10 of 20

11. The pair of equations y = 0 and y = -7 has :

  no solution

  infinitely many solutions

  one solution

 two solutions

Question 11 of 20

12. The following pair of linear equations 3x – 2y + 5 = 0, 5x + 7y = 2 will have

 infinite solution

 none of the above

 no solution

 a unique solution

Question 12 of 20

13. For what value of ‘K’ will the system of equations:
3x + y = 1, (2K – 1) x + (K – 1) y = 2K + 1
have no solution?

 3

 2

 1

 -2

Question 13 of 20

14. Which of the following pairs of equations represent inconsistent system?

 3x – y = -8 3x – y = 24

 5x – y = 10 10x – 2y = 20

 3x – 2y = 8 2x + 3y = 1

  lx – y = m x + my = l

Question 14 of 20

15. Two lines are said to be inconsistent if and only if,

 A

 B

 C

 D

Question 15 of 20

16. How many solutions are possible for the following pair of equation?
2 x + 4 y -12= 0 and x + 2y- 4 =0

 Infinite solutions

 No solution

 One solution

 More than one solution

Question 16 of 20

17. Find the point on Cartesian plane where the line 3x – 2y = 6 intersects the y axis.

 (0, -3)

 (3, 2)

 (-1, -2)

 (1, 2)

Question 17 of 20

18. Find the point on Cartesian plane where the line 5x – y = 10 intersect the x – axis.

 x = 2, y = 0

 x = 2, y = 5

 x = 0, y = 2

  x = 0, y = 0

Question 18 of 20

19. The pair of equations y = 0 and y = -7 has :

 one solution

 infinitely many solutions

 two solutions

 no solution

Question 19 of 20

20. Which of the following is not a solution of pair of equations 3x – 2y = 4 and 6x – 4y = 8?

 x = 5, y = 3

 x = 2, y = 1

 x = 6, y = 7

 x = 4, y = 4

Question 20 of 20

 Loading…