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Q.

The focal length of a mirror is given by 1f= 1u+1v where u and v represent object and image distances respectively. Then

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a

∆ff = ∆uu+∆vv

b

∆ff= ∆uv+∆vu

c

∆ff = ∆uu+∆vv - ∆(u+v)u+v

d

∆ff  = ∆uu+∆vv+∆uu+v + ∆vu+v

answer is D.

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Detailed Solution

f = uvu+v, ∆ff = ∆uu+∆vv+∆(u+v)u+v= ∆uu+∆vv+∆uu+v+∆vu+v
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The focal length of a mirror is given by 1f= 1u+1v where u and v represent object and image distances respectively. Then