English Medium इयत्ता ९ - CBSE Question Bank Solutions for Mathematics

Write in the expanded form: (ab + bc + ca)²

Write in the expanded form: `(x/y + y/z + z/x)^2`

Write in the expanded form:

`(a/(bc) + b/(ca) + c/(ab))^2`

Write in the expanded form: `(x + 2y + 4z)^2`

Write in the expand form: `(2x - y + z)^2`

Write in the expanded form: (-2x + 3y + 2z)²

Simplify (a + b + c)² + (a - b + c)²

Simplify: `(a + b + c)^2 - (a - b + c)^2` 

Simplify (a + b + c)² + (a - b + c)² + (a + b - c)²

Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`

Simplify (2x + p - c)² - (2x - p + c)²

If a + b + c = 0 and a² + b² + c² = 16, find the value of ab + bc + ca.

If a² + b² + c² = 16 and ab + bc + ca = 10, find the value of a + b + c.

If a + b + c = 9 and ab + bc + ca = 23, find the value of a² + b² + c².

Find the value of 4x² + y² + 25z² + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.

Simplify the expression: 

`(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2`

Simplify the following expressions:

`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`

Simplify the following expressions:

`(x^2 - x + 1)^2 - (x^2 + x + 1)^2`

In Fig., below, ABCD is a parallelogram in which ∠A = 60°. If the bisectors of ∠A and ∠B meet at P, prove that AD = DP, PC = BC and DC = 2AD.

In a parallelogram ABCD, determine the sum of angles ∠C and ∠D .