(a)
(ii) First, there is no chromatic aberration in a mirror. Second, if a parabolic reflecting suface is chosen, spherical aberration in also removed. Mechanical support is much less of a problem since a mirror weighs much less than a lens of equivalent optical quality, and can be supported over its entire back surface, not just over its rim.
(b) `f_(1)=10 cm, d=5 cm, f_(2)=-10 cm`
`u=-30 cm, v=?`
Combined focal length `f` is
`(1)/(f)=I(1)/(f_(1))+(1)/(f_(2))-(d)/(f_(1)f_(2)), (1)/(f)=(1)/(10)+(1)/(-10)-(5)/((10)(-10))`
`(1)/(f)=(1)/(10)-(1)/(10)+(5)/(100) rArr f=(100)/(5)=20 cm`
`(1)/(f)=(1)/(v)-(1)/(u), (1)/(20)=(1)/(v)-(1)/(-30)rArr(1)/(20)=(1)/(v)+(1)/(30)`
`(1)/(20)-(1)/(30)=(1)/(v)rArr(3-2)/(60)=(1)/(v)`
`therefore v=60 cm`
`therefore` Image will be formed at a distance of `30 cm` from the combination of lenses.