Onto Function is one of the many types of functions defined based on the relationship between its domain and codomain. For any function to be onto, it needs to relate two sets with a very specific mapping between elements, meaning that each element of the codomain has at least one element in the domain as its pre-image. In simple words, for any function, if all the elements of the codomain are mapped to some element of the domain, then the function is said to be an onto function....
Sequences and Series: In mathematics, the sequence is a collection or list of numbers that have a logical/sequential order or pattern between them. For example, 1, 5, 9, 13, … is a sequence having a difference of 4 between each consecutive next term and each term can be represented in form 1 + 4 * ( n – 1 ) where n is the nth term of the sequence. The sequence can be classified into 3 categories:...
(i) For any two sets A and B either A B or B A....
Interval notation is a method used to represent continuous sets of real numbers by specifying their boundaries. Written intervals resemble ordered pairs but are not used to indicate specific points. Instead, they serve as a concise means to express inequalities or systems of inequalities, providing a shorthand form to describe the range of values within those boundaries....
Quadratic inequalities are a type of algebraic inequality that involves quadratic expressions. A quadratic inequality looks like ax2+bx+c>0, ax2+bx+c<0, ax2+bx+c≥0 or ax2+bx+c≤, where a, b, and c are constants, and a≠0....
The sum to product formulas are trigonometric identities that convert the sum or difference of two trigonometric functions into a product of trigonometric functions. These formulas are particularly useful in simplifying expressions, solving trigonometric equations, and integrating functions....
RD Sharma Solutions for Class 11 covers different types of questions with varying difficulty levels. Practising these questions with solutions may ensure that students can do a good practice of all types of questions that can be framed in the examination. This ensures that they excel in their final examination for the subject of mathematics. In case of any doubts, students can easily refer to the chapter-wise solutions provided below, to ease their studying without any interruption in between. By referring to these solutions, students can get to know various ways of solving questions....
Permutation in mathematics is the arrangement of the object in a definite order. Permutation is similar to the combination and the basic difference between permutation and combination is that in permutation the order in which the object is taken is important while the combination is the arrangement of the objects when the order of the objects is not important....
