The center(s) of the circle(s) passing through the points (0, 0) and ( 1, 0) and touching the circle x2+y2=9 is (are)

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(3/2,1/2)

(1/2,3/2)

1/2,21/2

1/2,−21/2

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

From the diagram,122+λ2=32 or λ=±2 Hence, the centers of the circle are (1/2,±2).

Watch 3-min video & get full concept clarity