# Linear Equations In Two Variables

15 Questions | Total Attempts: 4472  Settings  .

• 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.

• B.

• C.

• D.

• 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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