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Find the area of the circle passing through centers of three circles with radius 2 m, 3 m and 10 m placed in such a way that each circle touches the other two circles externally.
  • a)
    225 π/4
  • b)
    36 π
  • c)
    169 π / 4
  • d)
    Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
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Find the area of the circle passing through centers of three circles w...

 
As per the given condition above diagram will be formed. So lines joining the centers of three circles will form right angle triangle as 5, 12, and 13 which is a Pythagorean triplet. So the circle passing through the centers of these circles will be passing through the vertex of this right angle triangle. So the diameter of such circle is hypotenuse of triangle which is 13 cm.Thus radius 6.5 cm and hence area will be π (13/2)2 = 169 π /4
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Find the area of the circle passing through centers of three circles w...

 
As per the given condition above diagram will be formed. So lines joining the centers of three circles will form right angle triangle as 5, 12, and 13 which is a Pythagorean triplet. So the circle passing through the centers of these circles will be passing through the vertex of this right angle triangle. So the diameter of such circle is hypotenuse of triangle which is 13 cm.Thus radius 6.5 cm and hence area will be π (13/2)2 = 169 π /4
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Find the area of the circle passing through centers of three circles w...

 
As per the given condition above diagram will be formed. So lines joining the centers of three circles will form right angle triangle as 5, 12, and 13 which is a Pythagorean triplet. So the circle passing through the centers of these circles will be passing through the vertex of this right angle triangle. So the diameter of such circle is hypotenuse of triangle which is 13 cm.Thus radius 6.5 cm and hence area will be π (13/2)2 = 169 π /4
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Direction: Read the passage carefully and answer the questionsBritish colonial policy . . . went through two policy phases, or at least there were two strategies between which its policies actually oscillated, sometimes to its great advantage. At first, the new colonial apparatus exercised caution, and occupied India by a mix of military power and subtle diplomacy, the high ground in the middle of the circle of circles. This, however, pushed them into contradictions. For, whatever their sense of the strangeness of the country and the thinness of colonial presence, the British colonial state represented the great conquering discourse of Enlightenment rationalism, entering India precisely at the moment of its greatest unchecked arrogance. As inheritors and representatives of this discourse, which carried everything before it, this colonial state could hardly adopt for long such a self-denying attitude. It had restructured everything in Europe—the productive system, the political regimes, the moral and cognitive orders—and would do the same in India, particularly as some empirically inclined theorists of that generation considered the colonies a massive laboratory of utilitarian or other theoretical experiments. Consequently, the colonial state could not settle simply for eminence at the cost of its marginality; it began to take initiatives to introduce the logic of modernity into Indian society. But this modernity did not enter a passive society. Sometimes, its initiatives were resisted by pre-existing structural forms. At times, there was a more direct form of collective resistance. Therefore the map of continuity and discontinuity that this state left behind at the time of independence was rather complex and has to be traced with care.Most significantly, of course, initiatives for . . . modernity came to assume an external character. The acceptance of modernity came to be connected, ineradicably, with subjection. This again points to two different problems, one theoretical, the other political. Theoretically, because modernity was externally introduced, it is explanatorily unhelpful to apply the logical format of the ‘transition process’ to this pattern of change. Such a logical format would be wrong on two counts. First, however subtly, it would imply that what was proposed to be built was something like European capitalism. (And, in any case, historians have forcefully argued that what it was to replace was not like feudalism, with or without modificatory adjectives.) But, more fundamentally, the logical structure of endogenous change does not apply here. Here transformation agendas attack as an external force. This externality is not something that can be casually mentioned and forgotten. It is inscribed on every move, every object, every proposal, every legislative act, each line of causality. It comes to be marked on the epoch itself. This repetitive emphasis on externality should not be seen as a nationalist initiative that is so well rehearsed in Indian social science. . . .Quite apart from the externality of the entire historical proposal of modernity, some of its contents were remarkable. . . . Economic reforms, or rather alterations . . . did not foreshadow the construction of a classical capitalist economy, with its necessary emphasis on extractive and transport sectors. What happened was the creation of a degenerate version of capitalism —what early dependency theorists called the ‘development of underdevelopment’.Which of the following observations is a valid conclusion to draw from the author’s statement that “the logical structure of endogenous change does not apply here. Here transformation agendas attack as an external force”?

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Find the area of the circle passing through centers of three circles with radius 2 m, 3 m and 10 m placed in such a way that each circle touches the other two circles externally.a)225 π/4b)36 πc)169 π / 4d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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