Solution: (3) R: x = wy (0, a) ∈ R a = wa w = 1 not equal Given that S = (m / n, p / q) and mq = np Hence qn = pm Also mn = pq (ab, ab) ∈ S S is... View Article
In maths, particularly in algebra, variable is defined as an English alphabet that represents an unknown number. The variable holds certain... View Article
A function rule is the relationship between the dependent and independent variables in the form of an equation. The function rule of a specific... View Article
No, parallel lines do not intersect or cross each other. Mathematically, we can say that parallel lines intersect at infinity. In general, we... View Article
Linear programming is also known as a linear approximation and is defined as the modelling technique used to calculate how to allocate resources... View Article
The mean of a set of numbers can be found by dividing the sum of numbers by the number of numbers in the set. Let x1, x2, x3,...., xn be the... View Article
A matrix is a rectangular array of numbers or elements or objects that are arranged in rows and columns. Mathematical definition of a matrix is... View Article
Hipparchus of Nicaea is considered the founder of Trigonometry. Also, identified as “the father of trigonometry.” Hipparchus of Nicaea created... View Article
In geometry, parallel lines are the lines which do not cross each other that means do not intersect each other at any point in the plane. In... View Article
In Statistics, the sampling method is defined as the process of studying the population by gathering information and analyzing those data. The... View Article
The product rule of probability means the simultaneous occurrence of two or more independent events. This is the product of the chances of... View Article
In maths, the intersection of two sets can be written as A and B, and is denoted by A ⋂ B. That means, A ⋂ B is the set containing all elements... View Article
A three dimensional plane or 3d plane contains three axes which intersect at the origin. The three axes, namely x-axis, y-axis and z-axis are... View Article
We know that the formula used to solve the combination expressions is given by: nCr = n!/[r! (n - r)! Substituting n = 4 and r = 2 in the above... View Article
In geometry, two lines are said to be perpendicular lines, if they intersect each other at a right angle, i.e. 90 degrees. In the above... View Article
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. If the interest is... View Article
In maths, the percentage of a fraction is obtained by multiplying it with 100. The symbol used to denote the percentage is %. To calculate a... View Article
The basic rules of probability are given below. Addition rule: P(A ⋃ B) = P(A) + P(B) - P(A ⋂ B) This can also be written as P(A or B) = P(A) +... View Article
