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M 9102. Introduction to Linear Polynomials

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M 9102. Introduction to Linear Polynomials अचर :- संख्याओं या अंको से व्यक्त राशि को अचर कहते हैं। अचरों का मान अपरिवर्तनशील होता है। इन्हे हम अंक भी कहते हैं क्योंकि ये अंका के रूप में लिखे जाते हैं। जैसे 1, 2, 3, 7, 25, 100, Constant: - The quantity represented by numbers is called constant. These are also called Numerals because these are Numbers. It value is fixed i.e. 1, 2, 3, 7, 25, 100, ............ Numeric Value or counting Numbers are called Constant. चर: अक्षरों से व्यक्त राशि को चर कहते हैं। ये अक्षर अंग्रेजी या रोमन वर्णमाला के हो सकते हैं। इन्हे अक्षर भी कहते हैं क्योंकि ये अक्षरों के रूप में प्रयुक्त होते हैं। चरों का मान परिवर्तनशील होता है। जैसे x, y, z, a, b, c, l, m, n, α, β, γ, θ, λ etc. Variables: The quantity represented by letters is called variables. These letters may be from Roman or English alphabets. These are also called Literals because variables are letters. Its value is not fixed i.e. x, y, z, a, b, c, l, m, n, a, β, γ, θ, λ etc. 2x, 7...

M 9101. Orienting Yourself: The Use of Coordinates

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M 9101. Orienting Yourself: The Use of Coordinates Orienting Yourself: The Use of Coordinates The 2-D Cartesian Coordinate System Cartesian plane –> The  Cartesian plane  is a two-dimensional coordinate system used in mathematics to locate points and graph equations. It was named after the mathematician , who helped develop this system. We studied about the number line which is one-dimensional. For Cartesian system we took two number lines on a plane. This number line maybe horizontal and vertical. We know about the number line and a plane in mathematics, both of them has no end and they are spreaded in all directions infinitively. In the ‘Number System’ the distances from a fixed point are marked in equal units positively in one direction and negatively in the other on the number line. The fixed point from which the distances are marked is called the origin. The two-dimensional coordinate system uses two lines one horizontal and one vertical at rig...