Rajasthan Board Class 9 Mathematics — Flashcards for Quick Revision

A: A rational number is any number that can be expressed in the form p/q, where p and q are integers and q ≠ 0. Examples: 3/4, -2/5, 7 (which is 7/1), 0 (which is 0/1).

A: Yes, zero is a rational number because it can be written in the form p/q where p = 0 and q is any non-zero integer. For example: 0 = 0/1 = 0/2 = 0/3, etc.

A: False. Every whole number is NOT a natural number because zero is a whole number but not a natural number. Natural numbers = {1, 2, 3, 4, ...} while Whole numbers = {0, 1, 2, 3, 4, ...}

A: A polynomial in one variable x is an algebraic expression of the form anxn + an-1xn-1 + ... + a2x2 + a1x + a0, where a0, a1, a2, ..., an are constants and an ≠ 0. All exponents must be whole numbers.

A: Examples: x + 1/x, √x + 3, 3y + y². These are not polynomials because: (1) x + 1/x = x + x⁻¹ has negative exponent, (2) √x + 3 = x^(1/2) + 3 has fractional exponent, (3) 3y + y² has irrational exponen

A: Monomial: Polynomial with one term (e.g., 2x, 5x³, -7) Binomial: Polynomial with two terms (e.g., x + 1, x² - x, y⁹ + 1) Trinomial: Polynomial with three terms (e.g., x² + x + π, 2 + x - x², y⁴ + y +

A: Coordinate Geometry is a branch of mathematics that deals with the study of geometry using coordinates. It was developed by French mathematician René Descartes. It helps us locate and describe the pos

A: Coordinate axes are two perpendicular lines used to locate points in a plane. The horizontal line is called the x-axis and the vertical line is called the y-axis. Together, they form the coordinate sy

A: The origin is the point where the x-axis and y-axis intersect. It is denoted by the letter O and has coordinates (0, 0). It serves as the reference point for measuring distances along both axes.