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

Your comments:

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

Your comments:

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)

Your comments:

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

Your comments:

Question 4 of 20

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

A unique solution

Infinitely many solution

No solution

Two solution

Your comments:

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

Your comments:

Question 6 of 20

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

(1, -5)

(-1, -5)

(-1, 5)

(1,5)

Your comments:

Question 7 of 20

8. All linear equations in two variables have -------------- .

One solution

Infinitely many solutions

Three solutions

Two solution

Your comments:

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

Your comments:

Question 9 of 20

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

-2

-5

5

2

Your comments:

Question 10 of 20

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

(3, 4)

(-3, 1)

(6, 1)

(2, -1)

Your comments:

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

Your comments:

Question 12 of 20

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

A

B

C

D

Your comments:

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

Your comments:

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

Your comments:

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)

Your comments:

Question 16 of 20

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

3,0

-3,2

0,0

0,4

Your comments:

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

Your comments:

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

Your comments:

Question 19 of 20

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

Infinite

2

0

1

Your comments:

Question 20 of 20

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