CET11 Mathematics Question Bank – Straight Lines‚ Pair of Lines & Circles A straight line through the point A 3‚ 4 is such that its intercept between the axes is bisected at A . It’s equation is 1. (a) 4 x 3 y 24 Ans: a (b) 3x 4 y 25 (c) x y 7 (d) 3x 4 y 7 0 Sol: By formula required equation is given by x y 2 4 x 3 y 24 3 4 2. The equation of the line which is the perpendicular bisector of the line joining the points 3‚ 5 and 9‚3 is (a)
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Geometry (Ancient Greek: γεωμετρία; geo- "earth"‚ -metron "measurement") is a branch of mathematics concerned with questions of shape‚ size‚ relative position of figures‚ and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths‚ areas‚ and volumes‚ with elements of a formal mathematical science emerging in the West as early as Thales (6th Century
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Non-Euclidean geometry is any form of geometry that is based on axioms‚ or postulates‚ different from those of Euclidean geometry. These geometries were developed by mathematicians to find a way to prove Euclid’s fifth postulate as a theorem using his other four postulates. They were not accepted until around the nineteenth century. These geometries are based on a curved plane‚ whether it is elliptic or hyperbolic. There are no parallel lines in non-Euclidean geometry‚ and the angles of triangles
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Elliptic geometry (sometimes known as Riemannian geometry) is a non-Euclidean geometry‚ in which‚ given a line L and a point p outside L‚ there exists no line parallel to L passing through p. Elliptic geometry‚ like hyperbolic geometry‚ violates Euclid’s parallel postulate‚ which asserts that there is exactly one line parallel to L passing through p. In elliptic geometry‚ there are no parallel lines at all. Elliptic geometry has other unusual properties. For example‚ the sum of the angles of any
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a teacher in primary school. While the geometry mean the area of mathematics that deals with points‚ lines‚ shapes and space. Geometry divided into two types such as plane geometry and solid geometry. Plane Geometry is about flat shapes like lines‚ circles and triangles. shapes that can be drawn on a flat surface called a Plane (it is like on an endless piece of paper). Solid Geometry is about solid (3-dimensional) shapes like spheres and cubes. Geometry topics taught in high school or secondary
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shielding and penetration on AO energies • Bonding – Review VSEPR and Hybridisation – Linear combination of molecular orbitals (LCAO)‚ bonding / antibonding – Labelling of molecular orbitals (MOs) (σ‚ π and g‚ u) – Homonuclear diatomic MO diagrams – mixing of different AO’s – More complex molecules (CO‚ H2O ….) – MO diagrams for Transition metal complexes An introduction to Molecular Orbital Theory 6 Lecture Course Prof S.M.Draper SNIAMS Institute 2.5 smdraper@tcd.ie 2 Lecture
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Geometry III 1st Grading Period I. Undefined Terms 1. Point- though we represent a point with a dot‚ the point has no length‚ width‚ or thickness. A point is usually named with a capital letter. In the coordinate plane‚ a point is named by an ordered pair‚ (point A) . A 2. LINE –In geometry‚ a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends
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1 Molecular-Orbital Theory Introduction Orbitals in molecules are not necessarily localized on atoms or between atoms as suggested in the valence bond theory. Molecular orbitals can also be formed the LCAO where more than two atomic orbitals are used. (Technically‚ we can use all of the atomic orbitals in the LCAO.) Linear combinations of orbitals result in the interference of waves. Both constructive and destructive interference may result. Within a diatomic molecule‚ N atomic orbitals
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Structured program list. First unit: Sets. In this unit the fundamental concepts of the theory of sets is addressed to provide the tools and the language of operation for subsequent units. Second unit: numbering systems. In this unit‚ we address numbering systems of different cultures until the one’s used current day‚ highlighting the importance of ten based numbering system (decimal)‚ which will be developed in depth by tackling its properties through the next unit. Unit Three: The field
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arena. I had my first glimpse at molecular biology then. But that brief introduction to molecular biology was enough to compel me to the idea that I want to spend my whole life working and conducting research on it. That passion and zeal brought me to where right now I am. I have successfully completed my masters from the Department of Genetic Engineering and Biotechnology‚ University of Dhaka. I want to note that very few universities offer courses related to molecular biology here in Bangladesh but
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