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Tushar Watts Grade: 12
        

Let x and y be real numbers satisfying the eqn x2 - 4x + y2 + 3 =0. If the max and min values of x2+y2 are a and b respectively, then show that the numerical value of a-b is 8

7 years ago

Answers : (1)

Ramesh V
70 Points
										

the given equation is a circle with centre (2,0) and radius of 1 unit


(x-2)2+x2=1


the genral point on circle in polar form is : ( 2+cos x , sin x )


on putting in x2+y2 ,


(2+cos x)2+(sin x)2 = -4.sin x


sinx has max. and min. values at 1 , -1


-4 < (2+cos x)2+(sin x)< 4


the numerical value: a-b = 8


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Regards,
Ramesh  
IIT Kgp - 05 batch




7 years ago
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