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Yogita Ingle 3 years, 11 months ago
Let the equation of circle be
x2+y2+2gx+2fy+c=0 .....(1)
where (−g,−f) is center and g2+f2−c is the radius.
Since, the circle passes through (2,3), so it satisfies eqn (1)
⇒4+9+4g+6f+c=0
⇒4g+6f+c=−13 .....(2)
Since, the circle passes through (−1,1), so it satisfies eqn (1)
⇒1+1−2g+2f+c=0
⇒−2g+2f+c=−2 .....(3)
Subtracting eqn (3) from eqn (2), we get
6g+4f=−11 ....(4)
Given center lies on the line x−3y−11=0
Since, center (−g,−f) satisfies this equation.
⇒−g+3f=11 ....(5)
Solving eqn (4) and (5), we get
g= −7/2 ,f= 5/2
Put this value in (2), we get
c=−14
Substituting these values in (1),
x2+y2−7x+5y−14=0
which is the equation of required circle.
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Gaurav Seth 3 years, 11 months ago
Politics is an important and integral part of society for the following reasons:
1. The presence of some kind of government is essential to maintain the law and order in society, the lack of which can result in the destruction of society.
2. Government is required in any society because it can control the social suppression of the poor by the rich section of the society.
3. It is required to establish harmony in a society or civilization.
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Yogita Ingle 3 years, 11 months ago
The commission of enquiry was appointed to look into the dispute that arose between the man and elephant and to give judgement accordingly. The king of the jungle also assured the man of impartial judgement and appreciated him for making friendship with the jungle animals.
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Meghna Thapar 4 years ago
The basic economic activities of life are production, distribution and disposition of goods and services. A society will be facing scarcity of resources during the time of fulfillment of these activities. As such scarcity is evident, due to the availability of limited resources, and human needs having no limit.
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Nikita Yadav 3 years, 9 months ago
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