The line L passes through the points of intersection of the circles 
and 
. The length of perpendicular from centre of second circle onto the line L , is
Text Solution
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Let AB be the line of intersection of the two circles
….(i)
….(ii)
Solving (i) and (ii), we get coordinates of A and B .
Subtracting (i) from (ii), we get
or 
Hence from (i), we get 
or 
.
Thus coordinates of A and B are (4, 3) and (4, –3).
Hence equation of L is 
or 
.
Also coordinates of centre C of second circle is (4, 0).
Hence 
Length of perpendicular from C to the line 
.
So, C and M are the same point.
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