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

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 one solution 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

10th Maths SA-2 Chapter Quick links |
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## 1 comment:

The linear equations can be solved by many methods but graphical method is the best way to solve them.

exponential growth is also one of the most interesting topic like linear equations.

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