Physics-
General
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Question

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

  1. fraction numerator x to the power of 2 end exponent minus y to the power of 2 end exponent over denominator 2 y end fraction    
  2. fraction numerator x to the power of 2 end exponent plus y to the power of 2 end exponent over denominator 2 y end fraction    
  3. x minus y    
  4. fraction numerator x to the power of 2 end exponent plus y to the power of 2 end exponent over denominator x minus y end fraction    

The correct answer is: fraction numerator x to the power of 2 end exponent minus y to the power of 2 end exponent over denominator 2 y end fraction

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