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Q.

The circle passes through (-2,1) and touches both coordinate axes whose radii are r1, r2 then which of the following are true

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a

Radius of minimum circle is 1

b

sum of radii is 6

c

Product of radii is 5

d

Absolute difference between radii is 4

answer is A, B, C, D.

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Detailed Solution

Let radius os circle is r and centre  (−r,r)
Then  (r−2)2+(r−1)2=r2
 ⇒r2−6r+5=0⇒r=1,5
 

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