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 lines pass through two points?
  • A
    two
  • B
    only one
    Correct
  • C
    many
  • D
    three
2
How many lines pass through one point?
  • A
    one
  • B
    two
  • C
    three
  • D
    many
    Correct
3
A linear equation in two variables is of the form ax + by + c = 0, where
  • A
    a \(\ne \) 0 and b = 0
  • B
    a \(\ne \) 0 and b ¹ 0
    Correct
  • C
    a = 0 and b = 0
  • D
    a = 0 and b \(\ne \) 0
4
The equation of a line parallel to x-axis and 3 units above the origin is
  • A
    y = 3
    Correct
  • B
    x = 3
  • C
    y = -3
  • D
    x = -3
5
The equation of a line parallel to x-axis and 5 units below the origin is
  • A
    y = 5
  • B
    x = 5
  • C
    y = -5
    Correct
  • D
    x = -5
6
The equation of a line parallel to y-axis and 4 units above the origin is
  • A
    y = -4
  • B
    y = 4
  • C
    x = 4
    Correct
  • D
    x = -4
7
The equation of a line parallel to y-axis and 7 units below the origin is
  • A
    y = 7
  • B
    y = -7
  • C
    x = -7
    Correct
  • D
    x = 7
8
If the line represented by the equation 3x + ky = 9 passes through the points (2, 3), then the value of ‘k’ is
  • A
    2
  • B
    3
  • C
    4
  • D
    1
    Correct
9
The equation y = 2x – 7 has
  • A
    one solution
  • B
    no solution
  • C
    many solutions
    Correct
  • D
    two solutions
10
If a linear equation has solutions (-2, 2), (0, 0) and (2, -2), then it is of the form
  • A
    x + y = 0
    Correct
  • B
    x – y = 0
  • C
    -x + 2y = 0
  • D
    -2x + y = 0
11
The positive solutions of the equation ax + by + c = 0 always lie in the
  • A
    3rd quadrant
  • B
    1st quadrant
    Correct
  • C
    4th quadrant
  • D
    2nd quadrant
12
The graph of the linear equation 3x – 5y = 15, cuts the y-axis at the point
  • A
    (0, 3)
  • B
    (-2, 0)
  • C
    (0, -3)
    Correct
  • D
    (2, 0)
13
The graph of the linear equation 4x + 2y = 12, cuts the x-axis at the point
  • A
    (-2, 0)
  • B
    (0, -2)
  • C
    (0, 3)
  • D
    (3, 0)
    Correct
14
How many linear equations in ‘x’ and ‘y’ can be satisfied by x = 1, y = 2?
  • A
    none of these
  • B
    many
    Correct
  • C
    two
  • D
    only one
15
The value of ‘k’ if x = 3 and y = -2 is a solution of the equation 2x – 13y = k is
  • A
    23
  • B
    32
    Correct
  • C
    30
  • D
    31