भाग-ख।
12V
R]=40
12. एक छात्र के दो पास प्रतिरोधक हैं-20 और 30। उसे उनमें से
एक को R2 के स्थान पर रखना होगा, जैसा कि परिपथ में दिखाया
गया है। पूरे परिपथ में उसे 9A विद्युत धारा की जरूरत है। गणना
करके दिखाएँ कि उसे दोनों प्रतिरोधों में से किस का चयन करना
चाहिए।
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The French Revolution (French: Révolution française began in May 1789 when the Ancien Régime was abolished in favour of a constitutional monarchy. Its replacement in September 1792 by the First French Republic led to the execution of Louis XVI in January 1793, and an extended period of political turmoil. This culminated in the appointment of Napoleon as First Consul in November 1799, which is generally taken as its end point. Many of its principles are now considered fundamental aspects of modern liberal democracy
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In discrete Maths, a relation is said to be antisymmetric relation for a binary relation R on a set A, if there is no pair of distinct or dissimilar elements of A, each of which is related by R to the other. In a formal way, relation R is antisymmetric, specifically if for all a and b in A, if R(x, y) with x ≠ y, then R(y, x) must not hold, or, equivalently, if R(x, y) and R(y, x), then x = y. Hence, as per it, whenever (x,y) is in relation R, then (y, x) is not. Here x and y are the elements of set A. Apart from antisymmetric, there are different types of relations, such as:
Reflexive
Irreflexive
Symmetric
Asymmetric
Transitive
An example of antisymmetric is: for a relation “is divisible by” which is the relation for ordered pairs in the set of integers. For relation, R, an ordered pair (x,y) can be found where x and y are whole numbers and x is divisible by y. It is not necessary that if a relation is antisymmetric then it holds R(x,x) for any value of x, which is the property of reflexive relation.
Antisymmetric Relation Definition
In set theory, the relation R is said to be antisymmetric on a set A, if xRy and yRx hold when x = y. Or it can be defined as, relation R is antisymmetric if either (x,y)∉R or (y,x)∉R whenever x ≠ y.
A relation R is not antisymmetric if there exist x,y∈A such that (x,y) ∈ R and (y,x) ∈ R but x ≠ y.
Note: If a relation is not symmetric that does not mean it is antisymmetric.
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