Answer: A, B, C
The alkene is alpha-methylstyrene. In the dark, HX+ adds to the CHX2 carbon to give the tertiary benzylic cation and then (2-bromopropan-2-yl)benzene. With peroxide, Br radical adds to the CHX2 carbon, giving the tertiary benzylic radical, and the product is (1-bromopropan-2-yl)benzene. Because the two products are constitutional isomers, statement D is false.