1. The number of solutions of the pair of linear equations

*x +*2*y –*8 = 0 and 2*x +*4*y =*16 is :
(a) 0 (b) 1 (c) infinitely many (d) none of these

2. The graphical representation of the pair of equations

*x +*2*y –*4 = 0 and 2*x +*4*y –*12 = 0 represents :
(a) intersecting lines (b) parallel lines (c) coincident lines (d) all of these

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

(a) parallel (b) always coincident (c) intersecting or coincident (d) always intersecting

4. The condition so that the pair of linear equations

*kx +*3*y +*1 = 0, 2*x + y +*3 = 0 has exactly onesolution is :
(a)

*k =*6 (b)*k*≠ 6 (c)*k =*3 (d)*k*≠ 3
5. The lines representing the linear equations 2

*x – y =*3 and 4*x – y =*5 :
(a) intersect at a point (b) are parallel (c) are coincident (d) intersect at exactly two points

6. The pair of linear equations 2

*x +*5*y = –*11 and 5*x +*15*y = –*44 has :
(a) many solutions (b) no solution (c) one solution (d) two solutions

7. The pair of equations

*y =*0 and*y =*–7 has :
(a) one solution (b) two solutions (c) infinitely many solutions (d) no solution

8. If the lines given by 3

*x +*2*ky =*2 and 2*x +*5*y +*1 = 0 are parallel, then the value of*k*is :
(a) –5/4 (b) 2/5 (c) 15/4 (d) 3/2

9. The pair of linear equations 8

*x –*5*y =*7 and 5*x –*8*y = –*7 have :
(a) one solution (b) two solutions (c) no solution (d) many solutions

10. The pair of linear equations

*x –*2*y =*0 and 3*x +*4*y =*20 have :
(a) one solution (b) two solutions (c) many solutions (d) no solution

11. The pair of linear equations

*kx +*2*y =*5 and 3*x + y*= 1 has unique solution, if :
(a)

*k =*6 (b)*k*≠ 6 (c)*k =*0 (d)*k*has any value
12. One equation of a pair of dependent linear equations is –5

*x +*7*y =*2, the second equation can be :
(a) 10

*x +*14*y +*4 = 0 (b) –10*x =*14*y +*4 – 0 (c) –10*x +*14*y +*4 = 0 (d) 10*x –*14*y = –*4
13. The value of

*k*for which the pair of equations :*kx – y =*2 and 6*x –*2*y =*3 has a unique solution is
(a)

*k =*3 (b)*k*≠ 3 (c)*k*≠ 0 (d)*k =*0
14. The value of

*k*for which the pair of linear equations 4*x +*6*y –*1 = 0 and 2*x + ky –*7 = 0 represents parallel lines is :
(a)

*k =*3 (b)*k*= 2 (c)*k =*4 (d)*k = –*2
15. If

*x = a, y = b*is the solution of the equations*x – y =*2 and*x + y =*4, then the values of*a*and*b*respectively are
(a) 3 and 5 (b) 5 and 3 (c) 3 and 1 (d) –1 and –3

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