Question

The number of points such that the tangents from it to three given circles are equal in length, is

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (A)

$1$

$s_1=0,s_2=0$ and $s_3=0$ are given $e{q}^n$ of three circle.
So, one radical axis is given by
$s_1-s_2=0$ this a equation of line $L_1.$
and other radical axis is given by
$s_1-s_3=0$ this is another equation of line $L_2.$
By intersection of line $L1$ and $L2,$
we find a point from which can draw tangents of
equal length to given three circle.
So, there is only one point exist