Binomial theorems is another ways of expansion of two terms. Another way it is generalised form of expansion. Due to expansion of two term it is binomial. “What are the binomial coefficients?” . It shows how to calculate the coefficients in the expansion of (a + b) n. The symbol for a binomial coefficient nCr. As well as pascal […]
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Category: Algebra
Imaginary No.
Complex numbers have two parts, a “real” part and an “imaginary” part (being any number with an “i” in it). The Complex numbers is ” a + bi “; that is, real-part first and part imaginary i=√(-1) due to presence to i second part is imaginary. Imaginary no
Sequence-2
Sequence and series is arrangement of term in particular pattern. Mathematical structures using the convergence properties of sequences. In particular, sequences are the basic for series Sequence and series
Conversion Complex No Rectangular to Pol...
Converting from Polar Form to Rectangular Form. Either method of notation is valid for complex numbers. Rectangular form lending itself to addition and subtraction, and polar form lending itself to multiplication and division. Hence polar form of a complex number is another way to represent a complex number. The form z = a + b i is called the rectangular coordinate form of a complex number. This representation is very useful when we multiply or divide complex numbers. Therefore argand diagram use […]
Factorisation
Factorisation process we applied bracket to take common term out. Also we apply difference of square of variable. Hence we reduce no of terms in expression. Therefore factorisation and expansion are reverse process. Factorisation
Sequence
Arrangement of term in particular pattern is known as sequence. A series is simply adding the terms in a sequence. An arithmetic series involves adding the terms of an arithmetic sequence. Similarly when terms are in ratio and addition , sequence as well as series will be geometric. Also when ratio is less than one than geometric series will be convergent. […]
Logarithmic Expression
Solve the logarithmic equation. This problem involves the use of the symbol “ln” instead of “log” to mean logarithm. Logarithmic expression
Complex Number
Conversion from Polar to Rectangular Form Complex and vice versa. r cos Θ = x , r sin Θ = y Conversion of polar to Rectangular
Sigma notation
Sigma Notation. Σ This symbol (called Sigma) means “sum up”. I love Sigma, it is fun to use, and can do many clever things. So Σ means to sum things up Sigma notation
Parabola
Vertex of a parabola is at the ‘origin’ and the axis of symmetry is along the x or y-axis, then the equation of the parabola is the simplest. So that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y – k)2= 4p (x – […]
