The equation of the circle having 
and 
as two tangents and 
as a diameter is
Text Solution
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: The lines 
and 
are parallel, and tangent to the circle.
Distance between them 
diameter of the circle
is a diameter of the circle.
Thus centre lies on the line 
. Let coordinate of centre be 
. From 
the length of perpendicular on 
is equal to radius
Taking 
, centre of the circle 
.
The circle must lie between the lines. The circle is 
, another coordinate for centre lies outside the region enclosed between the two parallel lines.
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