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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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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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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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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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H Himanshu Meshram
In general, numbers are of two types imaginary number and a real number A real number can be studied easily but an imaginary number shows a different type of property which we will study in this topic by using iota.

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S Suraj Bhandari
When a=b then, ordered pair {a,b}={b,a} For a straight line y=x is an example.

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S Suraj Bhandari
If U={1,2,3,4,5,6,7,8,9} is a universal set, A={1,2,3,4,}and B={3,4,5,6,7} are two sets then, (A ∪ B)={1,2,3,4,5,6,7} (A ∪ B)’={8,9} A’={5,6,7,8,9} B'={1,2,8,9} (A’ ∩ B’)={8,9}

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S Suraj Bhandari
If Universal set is not defined then the cardinal number is infinity otherwise it is equal to the total number of total elements.

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S Suraj Bhandari
A. An empty set is a finite set having null element.

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S Suraj Bhandari
SFefEAf

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S Suraj Bhandari
YES, because in an empty set number of element is null.

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S Suraj Bhandari
A Proper subset is defined as if the number of elements in the subset is not equal to the number of elements in parent set. And A Improper subset is defined as if the number of elements in the subset is equal to the number of elements in parent set.

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S Suraj Bhandari
No, because in equivalence sets the number of elements is the same but in equal sets all elements are same.
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