Linear Equations In Two Variables CBSE Questions & Answers

Linear Equations In Two Variables

This is Mathematics Class 09 Linear Equations in Two Variables CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
How many linear equations in ‘x’ and ‘y’ can be satisfied by x = 2, y = 3?
  • A
    two
  • B
    only one
  • C
    many
    Correct
  • D
    none of these
2
The graph of the linear equation x – y = 0 passes through the point
  • A
    \(\left( {\frac{1}{2}, - \frac{1}{2}} \right)\)
  • B
    (-1, 1)
  • C
    \(\left( {\frac{1}{2},\frac{1}{2}} \right)\)
    Correct
  • D
    (0, 1)
3
The graph of the linear equation x + y = 0 passes through the point
  • A
    (0, 1)
  • B
    (1, 1)
  • C
    (1, 0)
  • D
    (1, -1)
    Correct
4
If (k, -3) lies on the line 3x – y = 6, then the value of ‘k’ is
  • A
    1
    Correct
  • B
    0
  • C
    3
  • D
    2
5
If x = 3 and y = -2 satisfies 2x – 3y = k, then the value of ‘k’ is
  • A
    3
  • B
    10
  • C
    12
    Correct
  • D
    -2
6
For the equation 5x + 8y = 50, if y = 10, then the value of ‘x’ is
  • A
    -6
    Correct
  • B
    -12
  • C
    6
  • D
    12
7
The area of the triangle formed by the line 3x + 4y = 12 and the co-ordinate axes is
  • A
    3 sq. units
  • B
    6 sq. units
    Correct
  • C
    12 sq. units
  • D
    4 sq. units
8
The graph of every linear equation in two variables is a
  • A
    square
  • B
    curve
  • C
    circle
  • D
    straight line
    Correct
9
The equation 3x + 4y = 7 has a unique solution, if x and y are
  • A
    natural numbers
    Correct
  • B
    real numbers
  • C
    positive real numbers
  • D
    rational numbers
10
The equation x = 7 in two variables can be written as
  • A
    1.x + 1.y = 7
  • B
    0.x + 1.y = 7
  • C
    1.x + 0.y = 7
    Correct
  • D
    0.x + 0.y = 7
11
If we multiply both sides of a linear equation with a non-zero number, then the solution of the linear equation
  • A
    gets multiplied by the number
  • B
    changes
  • C
    none of these
  • D
    remains the same
    Correct
12
If we divide both sides of a linear equation with a non-zero number, then the solution of the linear equation
  • A
    gets divided by the number
  • B
    changes
  • C
    remains the same
    Correct
  • D
    none of these
13
The point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1½ times its abscissa is
  • A
    (-2, -3)
  • B
    none of these
  • C
    (2, 3)
    Correct
  • D
    (4, 6)
14
If the point (3, 4) lies on the graph of 3y = ax + 6, then the value of ‘a’ is
  • A
    1
  • B
    0
  • C
    3
  • D
    2
    Correct
15
Express ‘y’ in terms of ‘x’ in the equation 5y – 3x – 10 = 0.
  • A
    \(y = \frac{{3 + 10x}}{5}\)
  • B
    \(y = \frac{{3 - 10x}}{5}\)
  • C
    \(y = \frac{{3x + 10}}{5}\)
    Correct
  • D
    \(y = \frac{{3x - 10}}{5}\)