Linear
Equation in Two Variable
1.
Fill in the blank
a)
A system of simultaneous linear
equations is said to be constant, if it has at least ------------
solution. (one)
b)
A system of simultaneous linear
equations is said to be in-consistent if it has ---------- solution. (no)
c)
The graphical representation of the
system of linear equations will be ------ if it is consistent with unique
solution. (intersecting)
d)
The graphical representation of the
system of linear equations will be ------ if it is consistent with infinite
many solutions. (parallel)
2.
The system of equations 3x – 5y = 20
and 6x - 10y = 40 has -
a)
one solution b) exactly two
solutions
c) infinite many solutions d) no solutions
3.
For what value of k, do the equations
3x – y + 8 = 0 and 6x – ky + 16 = 0 represent coincident lines?
A)
½ b) -1/2 c) 2 d)
-2
4.
The value of k for which the system
of equations kx – y = 2 and 6x – 2y = 3 has a unique solution is
a)
-= 3 b) ≠ 3 c)
≠0 d) = 0
5.
If the system of equations 2x + 3y =
7 and (a + b)x + (2a – b) y = 21 has infinite many solutions, then -
a)
a = 1, b = 5 b) a = 5, b = 1
c)
a = -1, b = 5 d)
a = 5, b = -1
6.
The value of k for which the system
of equations x + 2y = 5 and 3x + ky + 15 = 0 has no solution is
a)
6 b) -6 c) 3/2 d)
none of these
7.
The area of triangle formed by the
line x/a + y/b = 1 with the co-ordinate axes is
a) ab b)
2ab c) ½ ab d)
¼ ab
8.
The area of triangle formed by the
lines x = 3, y = 4 and x = y is -
a)
½ sq. unit b) 1 sq. unit c) 4 sq. unit d) none of these
9.
The line 3x + 2y = 12 meets x- axis
at
a)
(0,1) b)
(4,0) c) (2,3) d) (0,6)
10. The solution
of the system of equations x – y + 1 = 0 , 3x + 2y – 12 = 0 is -
a) (0,1) b) (4, 0) c) (2, 3) d) (0,6)
Note :- Answer written with red colour
Dr Rajesh Kumar Thakur
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