1.) The linear equation 3x–y=x–1 has :
(A) A unique solution
(B) Two solutions
(C) Infinitely many solutions
(D) No solution
2.) A linear equation in two variables is of the form
ax+by+c=0, where
(A) a ≠ 0, b ≠ 0
(B) a = 0, b ≠ 0
(C) a ≠ 0, b = 0
(D) a = 0, c = 0
3.) Any point on the y-axis is of the form
(A) (x, 0)
(B) (x, y)
(C) (0, y)
(D) ( y, y)
4.) If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is
(A) 4
(B) 6
(C) 5
(D) 2
5.) Any solution of the linear equation 2x+0y+9=0 in two variables is of the form
(A) (–9/2 , m)
(B) (n, – 9/2 )
(C) (0, –9/2 )
(D) (– 9, 0)
6.) The graph of the linear equation 2x+3y=6 cuts the y-axis at the point
(A) (2, 0)
(B) (0, 3)
(C) (3, 0)
(D) (0, 2)
7.) The equation x=7, in two variables, can be written as
(A) 1.x+1.y=7
(B) 1.x+0.y=7
(C) 0.x+1.y=7
(D) 0.x+0.y=7
8.) Any point on the x-axis is of the form
(A) (x, y)
(B) (0, y)
(C) (x, 0)
(D) (x, x)
9.) Any point on the line y=x is of the form
(A) (a, a)
(B) (0, a)
(C) (a, 0)
(D) (a,–a)
10.) The equation of x-axis is of the form
(A) x = 0
(B) y = 0
(C) x + y = 0
(D) x = y
11.) The graph of y=6 is a line
(A) parallel to x-axis at a distance 6 units from the origin
(B) parallel to y-axis at a distance 6 units from the origin
(C) making an intercept 6 on the x-axis.
(D) making an intercept 6 on both the axes.
12.) x = 5, y = 2 is a solution of the linear equation
(A) x + 2 y = 7
(B) 5x + 2y = 7
(C) x + y = 7
(D) 5 x + y = 7
13.) If a linear equation has solutions (–2, 2), (0, 0) and (2, – 2), then it is of the form
(A) y – x = 0
(B) x + y = 0
(C) –2x + y = 0
(D) –x + 2y = 0
14.) The positive solutions of the equation ax + by + c = 0 always lie in the
(A) 1st quadrant
(B) 2nd quadrant
(C) 3rd quadrant
(D) 4th quadrant
15.) The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point
(A) (0, 2)
(B) (2, 0)
(C) (3, 0)
(D) (0, 3)
16.) The graph of the linear equation y=x passes through the point
(A) (3/2, -3/2)
(B) (0, 3/2)
(C) (1,1)
(D) (-1/2, 1/2)
17.) If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation :
(A) Changes
(B) Remains the same
(C) Changes in case of multiplication only
(D) Changes in case of division only
18.) How many linear equations in x and y can be satisfied by x = 1 and y = 2?
(A) Only one
(B) Two
(C) Infinitely many
(D) Three
19.) The point of the form (a, a) always lies on (A) x-axis
(B) y-axis
(C) On the line y = x
(D) On the line x + y = 0
20.) The point of the form (a,–a) always lies on the line
(A) x = a
(B) y = – a
(C) y = x
(D) x + y = 0
21.) Which of the following will represent a line parallel to x-axis?
(A) x+3=0
(B) 2x+3=5
(C) 2y-3=y+1
(D) x+y=3
1) C 2) A 3) C 4) A 5) A 6) D 7) B 8) C 9) A 10) B 11) A 12) C 13) B 14) A 15) C 16) C 17) B 18) C 19) C 20) D 21) C