WorksheetsX: L.E in 2 variables
Total questions: 12
Worksheet time: 18mins
Name
Class
Date
1.
Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are
a)
intersecting at exactly one point
b)
intersecting at exactly two points.
c)
coincident.
d)
parallel.
2.
The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have
a)
a unique solution
b)
exactly two solutions
c)
infinitely many solutions
d)
No solution
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 value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is
a)
3
b)
– 3
c)
–12
d)
no value
5.
If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is
a)
–5/4
b)
2/ 5
c)
15/4
d)
3/2
6.
The pair of equations x = a and y = b graphically represents lines which are
a)
parallel
b)
intersecting at (b, a)
c)
coincident
d)
intersecting at (a, b)
7.
For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?
a)
1/2
b)
−1/2
c)
2
d)
−2
8.
The equations 4x + 3y = 5 and 12x + 9y = 15 represent
a)
No solution
b)
Infinite many solution
c)
Unique solution
9.
The pair of linear equations:
kx + 4y = 5 ; 3x + 2y = 5
is consistent only when:
kx + 4y = 5 ; 3x + 2y = 5
is consistent only when:
a)
k ≠ 6
b)
k = 6
c)
k ≠ 3
d)
x = 3
10.
a)
Consistent and unique solution
b)
Inconsistent : No solution
11.
a)
Consistent : Unique solution
b)
Consistent: Many Solutions
c)
Inconsistent: No solution
d)
None of the above
12.
The solution for the lines represented by x = 0 and y = 0 is ____
a)
(0, 0)
b)
No Solution exist
c)
Infinitely many solutions
d)
All the points the axes are solutions
100 %
