CBSE Class 10 Mathematics Worksheet
UNIT II: Algebra - Pair of linear equations in two variable
1.
if the solution of eqn 2x+3y=7 and ,(a+b)x+(2a-b)y=21 has infinetely many solutions then
A)
a=1, b=5
B)
a=5, b=1
C)
a=-1, b=5
D)
a=5, b=-1
2.
Choose the correct option: 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 – 14y + 4 = 0
C)
–10x + 14y + 4 = 0
D)
10x – 14y = –4
3.
Indicate the pair or pairs representing simultaneous linear equations (solvable). 7x – 3y = 5 & 2x + 5y = 1
4.
The sum of two natural numbers is 25 and their difference is 7. Find the numbers.
5.
Choose the correct option: A pair of linear equations which has a unique solution x = 2, y = –3 is _________.
A)
x + y = –1, 2x - 3y = -5
B)
2x + 5y = –11, 4x+10y=-22
C)
2x – y = 1, 3x + 2y = 0
D)
x – 4y –14 = 0, 5x - y -13 = 0
6.
Choose the correct option: Each point on the graph of pair of two lines is a common solution of the
lines in case of _______.
A)
Infinitely many solutions
B)
Only one solution
C)
No solution
D)
None of these
7.
Thevalue ok k for which the system of eqn x+2y-3=0 and 5x+ky +7=0 has no solution is
8.
Solve the pair of linear equations x – y = 2 and x + y = 2. Also find p if p = 2x + 3.
9.
Choose the correct option: 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
10.
The pair of equations y = 0 and y = –7 has
A)
One solution
B)
Two solutions
C)
Infinitely many solutions
D)
No solution
11.
Indicate the pair or pairs representing simultaneous linear equations (solvable). 6x - 4y = 8 & 3x - 2y = 4
12.
If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
A)
6,-1
B)
2,3
C)
1,4
D)
19/5,6/5
13.
Indicate the pair or pairs representing simultaneous linear equations (solvable). 2x + 3y = 7 & 6x + 9y = 11
14.
Choose the correct option: Graph of every linear equation in two variables represent a ________.
A)
Point
B)
Straight line
C)
Curve
D)
Triangle
15.
Choose the correct option: 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 are, respectively ________.
A)
3 and 5
B)
5 and 3
C)
3 and 1
D)
–1 and –3
16.
If we have two variables x and y when x=a and y=b is the solution of equations x-y=2 and x+y = 4, then what will be the value of a and b
A)
a=3, b=1
B)
a=1, b=3
C)
a=-3, b=1
D)
a=3, b=-1
17.
If solvable, solve: 3x – 2y = 1 & 3x + 2y = 5
18.
Choose the correct option: For a pair to be consistent and dependent the pair must have ________.
A)
No solution
B)
Unique solution
C)
Infinitely many solutions
D)
None of these
19.
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
20.
If ,then system of eqn ax+by=c and lx+my=n
A)
has a unique solution
B)
has no solution
C)
has infinetely many solution
D)
may or may not have a solution
CBSE Class 10 Mathematics Worksheet
UNIT II: Algebra - Pair of linear equations in two variable
Answers
1.
Option B
2.
Option D
3.
7/2 ? -3/5, so the two equations represent simultaneous equations; in this case they have only one solution.
4.
16, 9
5.
Option D
6.
Option A
7.
Option A
8.
(2, 0) P = 7
9.
Option D
10.
Option D
11.
6/3 = -4/-2 = 8/4
Simultaneous equations; have infinite solutions.
12.
Option D
13.
2/6 = 3/9 ? 7/11
Not simultaneous equations.
14.
Option B
15.
Option C
16.
Option A
17.
x = 1, y = 1
18.
Option C
19.
Option A
20.
Option A