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Q.

The radial centre of three circles on the three sides of a triangle as diameter is

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a

the incentre

b

the orthocentre

c

the circumcentre

d

the centroid

answer is C.

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Detailed Solution

Circle having AB diameter passes through foot of perpendiculars of A,B on sides BC and AC(since angle in semi circle is a right angle)

Circle having BC diameter passes through foot of perpendiculars of .B,C on sides AC and AB Clearly radical axis of each pair of circles is perpendicular to a  side of  the triangle radical axis is an altitude
  radical centre is of orthocenter of the triangle

 

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