 ### Algebra

Algebra is one of the building blocks of Mathematics in IIT JEE examination. In fact, in the preparation of JEE, this is the starting point. Algebra is a very scoring and an easy portion in the Mathematics syllabus of JEE. Though Algebra begins with Sets and Relations, we seldom get any direct question from this portion. Functions can be said to be a prerequisite to Calculus and hence it is critical in IIT JEE preparation. Sequence and series is another section which is mixed with other concepts and then asked in the examination. Quadratic equations fetch direct questions too and are also easy to grasp. Binomial Theorem is also a mark fetching topic as the questions on this topic are quite easy. Permutations and Combinations along with Probability is the most important section in Algebra. IIT JEE exam fetches a lot of questions on them. Those who get good IIT JEE rank always do well in this section. Complex Numbers are also important as this fetches question in the IIT JEE exam almost every year. Matrices and Determinants mostly give a direct question and there is no twist and turns in the questions based on them. This includes: 1. Quadratic equations 2. Sequence and series 3. Binomial theorem 4. Permutation and Combination 5. Complex Number 6. Probability 7. Mathematical Reasoning

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In algebra, a quadratic equation (from the Latin quadratus for "square") is an equation that can be rearranged in standard form. where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no. term.
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A sequence is a list of objects (or events) that have been ordered in a sequential fashion; such that each member either comes before or after, every other member. ... A series is a sum of a sequence of terms. That is, a series is a list of numbers with addition operations between them.
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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.
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A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. Because no real number satisfies this equation, i is called an imaginary number.
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Permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.
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Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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To work out the determinant of a 3×3 matrix: Multiply a by the determinant of the 2×2 matrix that is not in a's row or column. Likewise for b, and for c. Sum them up, but remember the minus in front of the b.
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