Identical equations or Identities
Identical equations or Identities - Now study the equations given below: a) x + 3 + x + 4 = 2x + 7 2x + 7 = 2x + 7 (By simplification) [ \ any value given to 'x' always satisfies the equation] Similarly, b) (3a + 4) + 2 (a - 1) = 5a + 2 i.e., 5a + 2 = 5a + 2 (By simpli..
Study of Twins
The monozygotic (identical twins) develop from a single zygote by separation of the two blastomeres after the first cleavage. Therefore, they have similar genetic traits, except for rare chances of mutation. Fraternal twins develop from different zygotes. Therefore, they are no more alike..
Inverse of a Square Matrix
Let A be a square matrix of order n. If there exists a matrix B of order n such that AB = BA = I, where I is the identity matrix of order n, then the matrix A is said to be invertible and B is called the inverse (or reciprocal) of ..
Properties of Complex numbers
The Properties of Complex numbers are: Commutative Law for Addition, Commutative Law for multiplication, Additive Identity Exists, Multiplicative Identity Exist, Reciprocals (Multiplicative Inverses) Exist for nonzero complex numbers, Negatives (Additive Inverses..
Methods of factorising polynomials
There are various methods of factorising a polynomial. They are, 1. Factorisation by dividing the expression by the HCF of the terms of the given expression. 2. Factorisation by grouping the terms of the expression. 3. Factorisation using identities. Let us study these methods ..
Adjoint and Inverse of a Matrix
The adjoint of a square matrix [aij] is defined as the transpose of the matrix [Aij] where Aij are the cofactors of the elements aij. Adjoint of A is denoted by adj A. Let A be a square matrix of order n. If there exists a matrix B of order n such that AB = BA = I, where I is the ..
Complex number
Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary part . The following are the types of complex numbers: Equality of Complex numbers,..
Structure of Chromosomes
The most ideal stage to study the structure of chromosomes is the metaphase of mitosis. A metaphase chromosome consist of two identical components called chromatids, which are held together at a specific region called primary constriction. It is usually found in the centre..
Introduction
. The scientific study of the transmission of hereditary character from one generation to the other is known as genetics. If we look around us, we see different kinds of organisms. The organisms are of different species. Even among the species, there are differences. For example, one cat ..
Heredity and Evolution Introduction
. The scientific study of the transmission of hereditary character from one generation to the other is known as genetics. If we look around us, we see different kinds of organisms. The organisms are of different species. Even among the species, there are differences. For example, one cat ..
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