Questions
The centre of the circle passing through (0, 0) and (1, 0) and touching the circle ,is
a
( 3/2, 1/2)
b
(1/2, 3/2)
c
(1/2, 1/2)
d
(1/2,±2)
detailed solution
Correct option is D
Let the equation of the circle be x2+y2+2gx+2fy+c=0This passes through (0, 0) and (1, 0).c=0 and 1+2g+c=0⇒c=0,g=−1/2The circle x2+y2+2gx+2fy+c=0 touches the circle x2+y2=9.g2+f2=3±g2+f2−c Using C1C2=r1±r21/4+f2=3±1/4+f23=21/4+f2⇒f2=9/4−1/4=2⇒f=±2Talk to our academic expert!
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