Solutions 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. The positive solution of equation ax + by + c = 0 always lie in the:

 3^rd quadrant

 I^st quadrant

 4^th quadrant

 2^nd quadrant

Question 1 of 20

2. For two lines 2x + y = 1 and x – y = 2 if the x coordinate of the common point is 1 what is the y coordinate?

  -1

 2

 -2

 3

Question 2 of 20

3. Which of the following points lies on the line 3x + 2y = 6?

 (1, 2)

 (3, 0)

 (2, 3)

 (0, 3)

Question 3 of 20

4. If is the solution of linear equation  then find the value of other abscissa?

 -(√2+4)

 √2-4

 4-√2

 √2+4

Question 4 of 20

5. The linear equation 2x + 5y = 8 has:

  A unique solution

 Infinitely many solution

 No solution

 Two solution

Question 5 of 20

6. The value of m, if a = 3 and b = 1 is the solution of equation 2a + 3b = m is:

 9

 10

 8

 7

Question 6 of 20

7. Which of the following is the solution of linear equation 

 (1, -5)

  (-1, -5)

 (-1, 5)

 (1,5)

Question 7 of 20

8. All linear equations in two variables have ————– .

 One solution

  Infinitely many solutions

 Three solutions

 Two solution

Question 8 of 20

9. The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is:

 6

 5

 7

 -7

Question 9 of 20

10. 14 If -0.25x + 1.3 = -0.55x – 0.2 , then x

 -2

 -5

 5

 2

Question 10 of 20

11. The point lying on the equation 2x – y = 5 is:

 (3, 4)

 (-3, 1)

 (6, 1)

 (2, -1)

Question 11 of 20

12. The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is:

 7

 -7

 6

 5

Question 12 of 20

13. Which of the following is not the solution of linear equation 

 A

 B

 C

 D

Question 13 of 20

14. Point P(2,-3) lies on the line represented by the equation:

 x + 2y = 0

 x + y = 1

  2x + y = 1

  2x + 2y = 0

Question 14 of 20

15. Find value of a and b if y = 1 and x = 2 is solution of linear equation ax + by =3 and 3a – 2b = 1.

 a = 2, b = 3

 a = 1, b = 2

 a = 1, b = 1

 a = 4, b = 1

Question 15 of 20

16. Which of the following is a solution of the equation 4x + 3y = 16?

  (1, 3)

  (2, 3)

 (2, 4)

 (1, 4)

Question 16 of 20

17. Solutions of the equation 2x + 5y = 0 is:

  3,0

  -3,2

 0,0

 0,4

Question 17 of 20

18. (2,-3) is a solution of 3x + 4y + k = 0. So, the value of k must be

 -6

 6

 -4

 4

Question 18 of 20

19. If the line represented by the equation 3x + αy = 8 passes through the points (2,2), then the value of α is

 0

 4

 3

 1

Question 19 of 20

20. The number of lines passing through (3, 5) are:

  Infinite

 2

 0

 1

Question 20 of 20

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