Question

$\fbox\pink{Question by SIDDHI♡}$. Let C be the circle with centre at (1,1) and radius =1 .If T is the circle centred at (0,y), passing through the origin and touching the circle C externally ,then the radius of T is ?​

Answer 1

Step-by-step explanation:

Distance between there centers,

⇒  k+1=1+(k−1)2

⇒  k+1=1+k2+1−2k

⇒  k+1=k2+2−2k

⇒  (k+1)2=k2+2−2k

⇒  k2+2k+1=k2+2−2k

⇒  4k=1

∴  k=41

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Answer 2

Answer:

solution:-

☞Distance between there centers,

⇒  k+1=1+(k−1)2

⇒  k+1=1+k2+1−2k

⇒  k+1=k2+2−2k

⇒  (k+1)2=k2+2−2k

⇒  k2+2k+1=k2+2−2k

⇒  4k=1

∴  k=41

✔Hence, it is verifed