Gujarat Board Class 9 Mathematics — Flashcards for Quick Revision

A: A number 'r' is called a rational number if it can be written in the form p/q, where p and q are integers and q ≠ 0. Examples: 1/2, -3/4, 5 (which is 5/1), 0 (which is 0/1).

A: A number 's' is called irrational if it cannot be written in the form p/q, where p and q are integers and q ≠ 0. Examples: √2, √3, √15, π, 0.10110111011110...

A: True. Every integer m can be expressed in the form m/1, where both m and 1 are integers and 1 ≠ 0. Therefore, every integer is a rational number.

A: A polynomial in one variable is an algebraic expression in which the variable has only whole number exponents. Example: 3x² + 2x - 5, where x is the variable and exponents are 2, 1, and 0 (all whole n

A: The terms are: 4x³, -2x², 7x, and -3. Each term is separated by + or - signs.

A: Coefficient of x³: 5 Coefficient of x²: -3 Coefficient of x: 2 Constant term: -7 (coefficient of x⁰)

A: Coordinate geometry is a branch of mathematics that uses a system of coordinates to describe the position of points in a plane. It was developed by René Descartes and is also known as the Cartesian sy

A: To locate a point in a plane, we need two independent pieces of information because a plane is two-dimensional. Just like finding a house requires both the street number and house number, or a student

A: Coordinate axes are two perpendicular lines used to locate points in a plane. The horizontal line is called the x-axis (marked as X'X) and the vertical line is called the y-axis (marked as Y'Y). They