The position of a directrix of parabola depends on the direction in which the parabola opens. Suppose if the parabola opens towards the left, the... View Article
Hyperbola is one the geometric shapes in conic sections. The important parts of a hyperbola are given in the figure below: Here, the center... View Article
The fourth root of a number is the square root of square root of the original number. The simple way of finding the fourth root of a given number... View Article
An arithmetic progression (AP) is a sequence of numbers in which each succeeding number is obtained either by adding or subtracting a specific... View Article
In maths, permutation is all about the arrangements of objects, whereas combination is about the selection of objects. In permutation, order of... View Article
In maths, a number that denotes the steepness or direction of the line is called slope of the line. It is also called gradient of the line. Slope... View Article
Yes, 0 is an integer. By the definition, integers are the numbers that include whole numbers and negative natural numbers. We know that natural... View Article
Probability deals with the likelihood of happening of a certain event. The probability of any event lies between 0 and 1. Also, the probability... View Article
A hyperbola is defined as the locus of points in which the distance to each focus is a constant greater than one. The standard form of a... View Article
In maths, a series is the sum of all the numbers, or terms, of a sequence. If the sequence of partial sums approaches a finite number as the... View Article
In maths, the fundamental concepts of calculus include limits, differential calculus, integral calculus, function theory (single and multi... View Article
Every topic in maths will be difficult until you practice it frequently and effectively. However, permutations and combinations are the topics... View Article
In calculus, the differentiation of product of two functions is called product rule. Suppose u(x) and v(x) are the two functions, then the... View Article
In mathematics, combination is defined as the selection of some objects from a group of objects, where the order of selection is not required.... View Article
In maths, the second order derivative is defined as the derivative of derivation or the derivative of the first derivative of a given function.... View Article
Solution: (1) The given relation is R = {(x, y) ∈ W × W : the words x and y have at least one letter in common} Reflexive: (a, a) ∈ R If a... View Article
