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Q.

If the point (1,4) lies inside the circle  x2+y2−6x−10y+p=0  and the circle does not touch or intersect the coordinate axes, then the set of all possible values of p is the interval

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a

(0,25)

b

(9,25)

c

(25,29)

d

(25,39)

answer is D.

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Detailed Solution

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c=(3,5)  r=34−p→34−p<3⇒p>25.

s11<0⇒p<29

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