English Medium इयत्ता ९ - CBSE Question Bank Solutions

Give the geometric representation of the following equation
(a) on the number line     (b) on the Cartesian plane :   3x – 5 = 0

Give the geometrical representation of 2x + 13 = 0 as an equation in one variable .

Give the geometrical representation of 2x + 13 = 0 as an equation in two variables . 

Solve the equation 3x + 2 = x − 8, and represent the solution on the
Cartesian plane .

Write the equation of the line that is parallel to x-axis and passing through the point  (0, 3) .

Write the equation of the line that is parallel to x-axis and passing through the point   (0, -4) .

Write the equation of the line that is parallel to x-axis and passing through the point  (2, -5) . 

Write the equation of the line that is parallel to x-axis and passing through the point  (3, 4) .

Write the equation of the line that is parallel to y-axis and passing through the point  (4, 0) .

Write the equation of the line that is parallel to y-axis and passing through the point  (−2, 0 ) .

Write the equation of the line that is parallel to y-axis and passing through the point (3, 5) .

Write the equation of the line that is parallel to y-axis and passing through the point  (− 4, −3) .

In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other. Prove that the triangles are congruent. 

A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?

If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that

`1/V=2/S(1/a+1/b+1)`

The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that
`V^2` = `xyz`

If the area of three adjacent faces of a cuboid are 8 `cm^2`, 18 `cm^3` and 25 `cm^3`. Find the
volume of the cuboid.

The breadth of a room is twice its height, one half of its length and the volume of the room is 512cu. m. Find its dimensions.

Water in a canal 30 cm wide and 12 cm deep, is flowing with a velocity of l00 km per hour.How much area will it irrigate in 30 minutes if 8 cm of standing water is desired?

Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.