English Medium इयत्ता ९ - CBSE Question Bank Solutions

Find the following product:

(x² – 1)(x⁴ + x² + 1)

Without actually calculating the cubes, find the value of:

`(1/2)^3 + (1/3)^3 - (5/6)^3`

Without actually calculating the cubes, find the value of:

(0.2)³ – (0.3)³ + (0.1)³

Find the value of x³ + y³ – 12xy + 64, when x + y = – 4

Find the value of x³ – 8y³ – 36xy – 216, when x = 2y + 6

Give possible expressions for the length and breadth of the rectangle whose area is given by 4a² + 4a – 3.

Simplify (2x – 5y)³ – (2x + 5y)³.

Multiply x² + 4y² + z² + 2xy + xz – 2yz by (–z + x – 2y).

If a + b + c = 5 and ab + bc + ca = 10, then prove that a³ + b³ + c³ – 3abc = – 25.

Prove that (a + b + c)³ – a³ – b³ – c³ = 3(a + b)(b + c)(c + a).

Point (–3, 5) lies in the ______.

Signs of the abscissa and ordinate of a point in the second quadrant are respectively.

Point (0, –7) lies ______.

Point (–10, 0) lies ______.

Abscissa of all the points on the x-axis is ______.

Ordinate of all points on the x-axis is ______.

The point at which the two coordinate axes meet is called the ______.

A point both of whose coordinates are negative will lie in ______.

Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4) ______.

If y-coordinate of a point is zero, then this point always lies ______.