Let a circle
be obtained on rolling the circle
upwards 4 units on the tangent
to it at the point
. Let
be the image of
in
. Let
and
be the centers of circles
and
respectively, and
and
be respectively the feet of perpendiculars drawn from
and
on the
-axis. Then the area of the trapezium AMNB is:
Text Solution
Verified by ExpertsA

point lies on line
have distance 4 unit from
.


Slope of line
is -1 .
i.e.
then 
for point
and 

for point A we take +ve sign

for point
we take -ve sign



area of trapezium 

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