The equation of the image of the circle
by the line mirror
is
Text Solution
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The centre of the required circle is the image of the centre
with respect to the line mirror
and radius is equal to the radius of the given circle.
Let ( h , k ) be the image of the point
with respect to the line mirror. Then the mid-point of the line joining
and
lies on the line mirror.

or
….(i)
Also CP is perpendicular to 
or
….(ii)
Solving (i) and (ii),
.
Thus the centre of the image circle is
. The radius of the image circle is same as the radius of
i.e., 5.
Hence the equation of the required circle is
i.e.
.
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