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Let there be a natural number n,
We know that n divides n, which implies nRn.
So, Every natural number is related to itself in relation R.
Thus relation R is reflexive .
Let there be three natural numbers a,b,c and let aRb,bRc
aRb implies a divides b and bRc implies b divides c, which combinedly implies that a divides c i.e. aRc.
So, Relation R is also transitive .
Let there be two natural numbers a,b and let aRb,
aRb implies a divides b but it can't be assured that b necessarily divides a.
For ex, 2R4 as 2 divides 4 but 4 does not divide 2 .
Thus Relation R is not symmetric .
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The Industrial Policy Resolution (IPR) 1956 was adopted in order to achieve the aim of a socialist state with the government controlling the major strategic industries of the economy. Under IPR, 1956, the private sector was kept under state control through a system of licenses. No new industry was allowed unless a license was obtained from the government. Even an existing industry had to obtain a license for expanding output or for diversifying production.
The objective behind regulating the private sector through licenses was to promote equitable development in the country. It was easier to obtain a license if the industrial unit was to be established in backward areas.
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Gurmandeep Singh 5 years ago
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