(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
y = x - 3
y = - x + 5

For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
2x - 3y = 6
`x/(2) + y/(3) = 1`

For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
3x + 4y = 24
`x/(4) + y/(3) = 1`

On the same graph paper, plot the graph of y = x - 2, y = 2x + 1 and y = 4 from x= - 4 to 3.

On the same graph paper, plot the graphs of y = 2x - 1, y = 2x and y = 2x + 1 from x = - 2 to x = 4. Are the graphs (lines) drawn parallel to each other?

The graph of 3x + 2y = 6 meets the x=axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinates of points P and Q.

Draw the graph of equation x + 2y - 3 = 0. From the graph, find:
(i) x₁, the value of x, when y = 3
(ii) x₂, the value of x, when y = - 2.

Draw the graph of equation 3x – 4y = 12. Use the graph drawn to find:

1. y₁, the value of y, when x = 4.
2. y₂, the value of y, when x = 0.

Draw the graph of equation `x/(4) + y/(5) = 1` Use the graph drawn to find:
(i) x₁, the value of x, when y = 10
(ii) y₁, the value of y, when x = 8.

Use the graphical method to show that the straight lines given by the equations x + y = 2, x - 2y = 5 and `x/(3) + y = 0` pass through the same point.

Express the following in terms of log 2 and log 3: log 36

Express the following in terms of log 2 and log 3: log 54

Express the following in terms of log 2 and log 3: log 144

Express the following in terms of log 2 and log 3: log 216

Express the following in terms of log 2 and log 3: log 648

Express the following in terms of log 2 and log 3: log12⁸ 

Express the following in terms of log 5 and/or log 2: log20

Express the following in terms of log 5 and/or log 2: log80

Express the following in terms of log 5 and/or log 2: log125

Express the following in terms of log 5 and/or log 2: log160