Grade upto college level Algebra

The differential of the family of circles with fixed radius 5 units and centre on the line y = 2 is

aditya kashyap

12 Years agoGrade upto college level

1 Answer

Jitender Singh

12 Years ago

Ans:

Equation of Circle:

$(x-a)^{2}+(y-2)^{2} = (5)^{2}$ …............(1)

Differentiate:

$2(x-a)+2(y-2).y^{'} = 0$

$(x-a) =-(y-2).y^{'}$

Put this value in (1)

$(y-2)^{2}(1+(y^{'})^{2}) = 25$

Thanks & Regards

Jitender Singh

IIT Delhi

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The differential of the family of circles with fixed radius 5 units and centre on the line y = 2 is

aditya kashyap

1 Answer

Jitender Singh

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