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Questions  

Circles are drawn through the point (2,0)  to cut intercept of length ‘5’ units on the x-axis . If their centres lie  in the first quadrant then their equation is

a
x2+y2−9x+2ky+14=0,k>0
b
3x2+3y2+27x−2ky+42=0,k>0
c
x2+y2−9x−2ky+14=0,k>0
d
x2+y2−2ky−9y+14=0,k>0

detailed solution

Correct option is C

(C)      c=(92,k) (x−92)2+(y−k)2=254+k2 (or) x2+y2−9x−2ky+14=0

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The equations of four circles are (x±a)2+(y±a)2=a2 The radius of a circle touching all the four circles is


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