Linear Equations In Two Variables
(123).jpg "Linear Equations In Two Variables")
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- 1.The linear equation 4x – 10y = 14 has:
- A.
A unique solution
- B.
Two solutions
- C.
Infinitely many solutions
- D.
No solutions
- 2.The equation 2x – 3y = 5 has a unique solution, if x, y are:
- A.
Natural numbers
- B.
Positive real numbers
- C.
Real numbers
- D.
Rational numbers
- 3.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
- 4.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)
- 5.The equation y = 5, in two variables, can be written as:
- A.
1 . x + 1 . y = 5
- B.
0 . x + 0 . y = 5
- C.
1 . x + 0 . y = 5
- D.
0 . x + 1 . y = 5
- 6.Any point on the line y = x is of the form:
- A.
(a, –a)
- B.
(0, a)
- C.
(a, 0)
- D.
(a, a)
- 7.The graph of x = 5 is a line:
- A.
Parallel to x-axis at a distance 5 units from the origin
- B.
Parallel to y-axis at a distance 5 units from the origin
- C.
Making an intercept 5 on the x-axis
- D.
Making an intercept 5 on the y-axis
- 8.x = 9, y = 4 is a solution of the linear equation:
- A.
2x + y = 17
- B.
X + y = 17
- C.
X + 2y = 17
- D.
3x – 2y = 17
- 9.Any point on the x-axis is of the form:
- A.
(0, y)
- B.
(x, 0)
- C.
(x, x)
- D.
(x, y)
- 10.If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form:
- A.
Y – x = 0
- B.
X + y = 0
- C.
–2x + y = 0
- D.
–x + 2y = 0
- 11.The positive solutions of the equation ax + by + c = 0 always lie in the:
- A.
Ist quadrant
- B.
2nd quadrant
- C.
3rd quadrant
- D.
4th quadrant
- 12.The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:
- A.
(0, 3)
- B.
(3, 0)
- C.
(2, 0)
- D.
(0, 2)
- 13.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
- 14.The graph of x = 9 is a straight line:
- A.
Intersecting both the axes
- B.
Parallel to y-axis
- C.
Parallel to x-axis
- D.
Passing through the origin
- 15.Equation of the line parallel to x-axis and 6 units above the origin is:
- A.
X = 6
- B.
X = –6
- C.
Y = 6
- D.
Y = –6
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