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Q.

A circle is given by x2+y26x+8y11=0  and there are two points (0,0)  and(1,8) . These points lie:

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a

one outside and one inside the circle

b

both inside the circle

c

both outside the circle

d

one on and other inside the circles

answer is A.

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Detailed Solution

Equation of circle is

Sx2+y26x+8y11=0 .

S(0,0)=11<0  so (0,0)  lies inside.

S(1,8)=1+645+6411>0 , so (1,8)  lies outside the circle.

 

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