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
For the equation 5x – 7y = 35, if y = 5, then the value of ‘x’ is
  • A
    -12
  • B
    14
    Correct
  • C
    -14
  • D
    12
2
The area of the triangle formed by the line 2x + 5y = 10 and the co-ordinate axes is
  • A
    3 sq. units
  • B
    4 sq. units
  • C
    5 sq. units
    Correct
  • D
    10 sq. units
3
Express ‘y’ in terms of ‘x’ in the equation 5x – 2y = 7.
  • A
    \(y = \frac{{5x - 7}}{2}\)
    Correct
  • B
    \(y = \frac{{7 - 5x}}{2}\)
  • C
    \(y = \frac{{7x + 5}}{2}\)
  • D
    \(y = \frac{{5x + 7}}{2}\)
4
Express ‘x’ in terms of ‘y’ in the equation 2x – 3y – 5 = 0.
  • A
    \(x = \frac{{3y + 5}}{2}\)
    Correct
  • B
    \(x = \frac{{3y - 5}}{2}\)
  • C
    \(x = \frac{{5 - 3y}}{2}\)
  • D
    \(x = \frac{{3 + 5y}}{2}\)
5
The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs.160. A linear equation in two variables to represent the above data is
  • A
    x + 2y = 160
  • B
    2x + y = 160
    Correct
  • C
    none of these.
  • D
    x + y = 160
6
If (-2, 5) is a solution of 2x + my = 11, then the value of ‘m’ is
  • A
    -2
  • B
    2
  • C
    -3
  • D
    3
    Correct
7
The graph of the equation x + y = 4
  • A
    intersects both the axis
    Correct
  • B
    parallel to x-axis
  • C
    intersects y-axis only
  • D
    intersects x-axis only
8
The line represented by the equation x + y = 16 passes through (2, 14). How many more lines pass through the point (2, 14)
  • A
    many
    Correct
  • B
    100
  • C
    10
  • D
    2
9
The taxi fare in a city is as follows: For the first kilometer, the fare is Rs.8 and for the subsequent distance it is Rs.5 per kilometer. Taking the distance covered as ‘x’ km and total fare as Rs.y, write a linear equation for this information.
  • A
    y = 5x + 3
    Correct
  • B
    x = 5y – 3
  • C
    y = 5x – 3
  • D
    x = 5y + 3
10
The graph of a linear equation \(y = \frac{9}{5}x + 32\) cuts the y-axis at the point
  • A
    (-32 , 0)
  • B
    (32 , 0)
  • C
    (0 , -32)
  • D
    (0 , 32)
    Correct
11
The graph of a linear equation x – 5y + 3 = 0 cuts the x-axis at the point
  • A
    (5 , 0)
  • B
    (3 , 0)
  • C
    (-3 , 0)
    Correct
  • D
    (-5 , 0)
12
The graph of the linear equation y = 3x passes through the point
  • A
    (\( - \frac{2}{3}\), 0)
  • B
    (0 , \(\frac{2}{3}\))
  • C
    (\(\frac{2}{3}\), 0)
    Correct
  • D
    (0 , \( - \frac{2}{3}\))
13
Write the linear equation such that each point on its graph has an ordinate 5 times its abscissa.
  • A
    none of these
  • B
    5x + y = 2
  • C
    x = 5y
  • D
    y = 5x
    Correct
14
If a linear equation has solutions (1, 2), (-1, -16) and (0, -7), then it is of the form
  • A
    9x – y + 7 = 0
  • B
    x = 9y – 7
  • C
    x – 9y = 7
  • D
    y = 9x – 7
    Correct
15
The graph of x = -4 is a straight line
  • A
    parallel to x-axis
  • B
    passing through origin
  • C
    parallel to y-axis
    Correct
  • D
    intersecting the axes.