Match the followingCurrents r.m.s values(A) x0 sinωt   (i) x0(B) x0 sinωt cosωt (ii) (C) x0 sinωt + x0 cosωt (iii) (A → i), (B → ii), (C → iii)(A → ii), (B → iii), (C → i)(A → i), (B → iii), (C → ii)None

Match the columns  Column-ICompounds   Column-IIpKaI (a) 4.19II (b) 4.46III CH3COOH (c) 4.76IV (d) 3.41 A I-a, II-b, III-c, IV-d B I-b, II-c, III-d, IV-a C I-b, II-d, III-c, IV-a D I-a, II-d, III-c, IV-b

Find the incorrect matches from the following(i) Copper (II) bromide → CuBr2(ii) Aluminium (III) nitrate → Al(NO3)2(iii) Calcium (II) phosphate →  Ca3(PO2)4(iv) Iron (III) sulphide → FeS3(v) Magnesium (II) acetate → Mg (CH3COO)2

5. Two right-angled triangles are shown below.23qp1(a) Determine the value of(i) sin p(ii) cos q.(b) Find the exact value of ( )cos p q+ .6. Functions f and g are defined on R by• ( ) 2 5f x x= +• ( ) 2 2g x x x= − .(a) Find an expression for ( )( )f g x .(b) Find an expression for ( )( )g f x .(c) Express ( )( ) ( )( )g f x f g x− in the form ( )2a x b c+ + .123214

Match the column  Column-I(Compound)   Column-II(effect of substituent)(a) (p) +M and +I(b) (q) +M and –M(c) (r) –M and –I(d) (s) +M and –I A a-s, b-q, c-r, d-p B a-s, b-p, c-r, d-q C a-s, b-p, c-q, d-r

(b) Find the exact value of ( )cos p q+ .6. Functions f and g are defined on R by• ( ) 2 5f x x= +• ( ) 2 2g x x x= − .(a) Find an expression for ( )( )f g x .(b) Find an expression for ( )( )g f x .(c) Express ( )( ) ( )( )g f x f g x− in the form ( )2a x b c+ + .123214