Linear Equations In Two Variables

15 Questions | By Jagranjosh | Last updated: Sep 15, 2020 | Total Attempts: 2883

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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