Match the statements/expressions given in Column I with the values given in Column II.

Step-by-step solution

(a) 2 ^2 + ^2 2 =2 ^2 2 =2 ^2 4 ^2 ^2 =2 ^2 ^2 =0 or ^2 = 1 2 =0 or = 1 2 = 4 or 2 (b) f(x)= [ 6 x ] [ 3 x ] Possible points of discontinuity of [ 6 x ] are gathered 6 x =n, n I x= n 6 x= 6 , 3 , 2 , _ x ⁻ / 6 f(x)=0 0=0 _ x ⁺ / 6 f(x)=1 0=1 gathered Discontinuous at x= 6 . Similarly, discontinuous at x= 3 , 2 , . (c) Here, V= | array lll 1 & 1 & 0 1 & 2 & 0 1 & 1 & array |= cubic unit (d) Given, a + b + 3 c = 0 array ll & a + b =- 3 c & | a + b |^2= 3 c ^2 array array lrl & a^2+b^2+2 a b =3 c^2 & 2+2 =3 & = 1 2 =