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1. Which of the following pair of linear equations is inconsistent?
A. 5x - 3y =11; 7x + 2y =13
B. 2x + 3y = 7; 4x + 6y = 5
C. 9x - 8y = 17; 18x -16y = 34
D. x - 2y = 6; 2x + 3y = 4
2. The pair of linear equations x + y + 10 = 0 and x + y - 7 = 0 has:
A. One solution
B. Infinitely many solutions
C. No solutions
D. Two solutions
3. The pair of linear equations 8x - 5y = 7 and 5x - 8y = -7 have :
A. No solution
B. Many solutions
C. One solution
D. Two solutions
4. One equation of a pair of dependent linear equations is -5x + 7y = 2, the second equation can be :
A. -10x + 14y + 4 = 0
B. -10x - 14x + 4 =
C. 10x - 14y = -4
D. 10x + 14y + 4 =0
5. Which of following is not a solution of 3a + b = 12?
A. (3, 3)
B. (5, -3)
C. (4, 0)
D. (2, 4)
6. The number of solutions of the pair of linear equations x + 2y - 8 = 0 and 2x + 4y = 16 are:
A. None
B. Infinitely many
C. 0
D. 1
7. The pair of linear equations 3x + 2y = 5 and 2x - 3y = 7 will have
A. unique solution
B. no solution
C. infinite solution
D. none of the above
8. If the pair of equation has no solution, then the pair of equation is :
A. inconsistent
B. coincident
C. none of these
D. consistent
9. Which of the following equation is not a linear equation?
A. 2a-b =1
B. 2a+b =1
C. a+b =1
D. √a+b =1
10. A system of simultaneous linear equations has infinitely many solutions if two lines:
A. are coincident
B. intersect at two points
C. are parallel
D. intersect at one point
11. The pair of equations y = 0 and y = -7 has :
A. no solution
B. infinitely many solutions
C. one solution
D. two solutions
12. The following pair of linear equations 3x - 2y + 5 = 0, 5x + 7y = 2 will have
A. infinite solution
B. none of the above
C. no solution
D. a unique solution
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?
A. 3
B. 2
C. 1
D. -2
14. Which of the following pairs of equations represent inconsistent system?
A. 3x - y = -8 3x - y = 24
B. 5x - y = 10 10x - 2y = 20
C. 3x - 2y = 8 2x + 3y = 1
D. lx - y = m x + my = l
17. Find the point on Cartesian plane where the line 3x - 2y = 6 intersects the y axis.
A. (0, -3)
B. (3, 2)
C. (-1, -2)
D. (1, 2)
18. Find the point on Cartesian plane where the line 5x - y = 10 intersect the x - axis.
A. x = 2, y = 0
B. x = 2, y = 5
C. x = 0, y = 2
D. x = 0, y = 0
19. The pair of equations y = 0 and y = -7 has :
A. one solution
B. infinitely many solutions
C. two solutions
D. no solution
20. Which of the following is not a solution of pair of equations 3x - 2y = 4 and 6x - 4y = 8?
A. x = 5, y = 3
B. x = 2, y = 1
C. x = 6, y = 7
D. x = 4, y = 4
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