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4. AB is a line segment of length 12 cm and M is its mid point . Semi circles are drawn with AM , MB and AB as diameters on same side of the line AB . A circle with centre O and radius r is drawn so that it touches all the 3 semi circles . It touches the circle with diameter AM at the point P , the circle with diameter MB at the point Q and the circle with diameter AB at the point R . Find the value of r if L and N are the mid points of AM and MB respectively and the points O , P , L ; the points O , Q , N and the points R , O , M are collinear .

Answer» 4. AB is a line segment of length 12 cm and M is its mid point . Semi circles are drawn with AM , MB and AB as diameters on same side of the line AB . A circle with centre O and radius r is drawn so that it touches all the 3 semi circles . It touches the circle with diameter AM at the point P , the circle with diameter MB at the point Q and the circle with diameter AB at the point R . Find the value of r if L and N are the mid points of AM and MB respectively and the points O , P , L ; the points O , Q , N and the points R , O , M are collinear .


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