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Q.

An object 'O' is placed in front of a small plane mirror M1 and a large convex mirror M2 of focal length 'f'. The distance between 'O' and M1 is x and the distance between M1 and M2 is y. The images of 'O' formed by M1 and M2 coincide. The magnitude of 'f' is
 

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a

x-y

b

x2y22y

c

x2+y22y

d

x2+y2x+y

answer is B.

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Detailed Solution

1f=1v+1u; u=x+y; v=xy ;

 u-negative, v-positive, f-positive 

1f=1xy1x+y=2yx2y2;

f=x2y22y

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