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\ {rac{a x_{1}+b y_{1}+c z_{1}+d}{a x_{2}+b y_{2}+c z_{2}+d}=0} \;\;\;\;\;\;\;\;\;\;\;\; {	ext { (same side) }} \\ {rac{a x_{1}+b y_{1}+c z_{1}+d}{a x_{2}+b y_{2}+c z_{2}+d}=\infty} \;\;\;\;\;\;\;\;\;\;\;{	ext { (opposite side) }}

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S Suraj Bhandari
In that case, one of the points lies in the plane if the value is zero then quotient point is in the plane and vice versa

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H Himanshu Meshram
The prefix poly means many. So the word polynomial refers to one or more than one term in an expression. The relationship between these terms may be sums or differences. You call expression with a single term a monomial, an expression with two terms is a binomial, and expression with three terms is a trinomial. Here we are only discussing Binomial along with their exponents.

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S Suraj Bhandari
Chain Rule is one of the most important concepts in Differentiations That's why we will discuss it in upcoming concepts till then you can take some basic idea of this concept Thanking You !!
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Uun, Uuu, Uub all are IUPAC nomenclature of 110, 111, 112 respectively. You will this in this concept.
Because all elements are different from each other in respective their mass, number of electrons, atomic number, etc. Every element has a unique and different properties.
Nitrogen is more stable than Oxygen due to half-filled electrons in Nitrogen.

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A Ankit Dutt
Hard water has various soluble salts of magnesium and calcium due to which the soaps are not able to form lather whereas soft water does not have these salts thus soaps make lather in soft water.

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A Ankit Dutt
Limiting reagent is a reactant in any chemical reaction that gets consumed completely in the reaction.

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A Ankit Dutt
Empirical formula is the simplest ratio of atoms present in the molecule like CH2O while the molecular formula is the representation of the actual number of atoms present in the molecule.

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A Ankit Dutt
Equivalent weight is calculated by the molar weight divided by the n-factor. This n-factor can be valency, charge, acidity, basicity, etc.

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S Suraj Bhandari
If the number of elements in set A is equal to the number of elements in set B.

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A Ankit Dutt
A mole is a number whose value is equal to

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S Suraj Bhandari
The function sgn(x) is undefined at x=0. A function can be continuous or discontinuous at the points of domain not at points outside of the domain. Since {0} does not belong to the domain of sgn(x), the question of continuity or discontinuity is irrelevant.

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A Ankit Dutt
Atomic mass is the mass of a single atom or in other words, it is equal to the number of protons and neutrons. Molecular mass is the mass of all the atoms combined in the molecule.

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A Ankit Dutt
There are various drawbacks of Dalton's Atomic Theory: (i) It failed to explain anything about the structure of the atom. (ii) It failed to explain how atoms of different elements combine and form molecules. (iii) It failed to explain any distinction between atoms and molecules. (iv) He proposed that atoms are indivisible but now it is false as atoms are further divided into electrons,...

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S Suraj Bhandari
An identity relation on a set 'A' is the set of ordered pairs (a, a), where 'a' belongs to set 'A'. For example, suppose A={1,2,3}, then the set of ordered pairs {(1,1), (2,2), (3,3)} is the identity relation on set 'A'. Any relation 'R' on a set 'A' is said to be reflexive if (a, a) belongs to 'R', for every 'a' belongs to set 'A'. For example, suppose A={1, 2, 3}, then a relation...

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S Suraj Bhandari
An empty set is a finite set having null element, that's why it is considered as subsets of all sets.
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