HSC (SCIENCE) 2023 MATHEMATICS IMP QUESTIONS STATE BOARD MH

 HSC (SCIENCE) 2023 MATHEMATICS IMP QUESTIONS

STATE BOARD MH

Mathematics 1

1. Mathematical Logic
1	Page No. 7	Q.5 (ii, v)
2	Page No. 10	Example : 2(ii)
3	Page No. 13	Q.1(vi), Q.2 (vi) , Q.3 (vi)
4	Page No. 18	Q.3 (v, viii , ix) , Q.4 (i , iv)
5	Page No. 21	Q.3 (ii, iii)
6	Page No. 28	Example : 6
2. Matrices
8	Page No. 39	Q.8
9	Page No. 49	Example : 2
10	Page No. 52	Q.4
11	Page No. 54	Q.18
12	Page No. 59	Q.1 (i)
13	Page No. 60	Q.3 , Q.4
3. Trigonometric Ratio
14	Page No. 74	Example : 8 , 9
15	Page No. 75	Q.1 (i, ii) , Q.2 (i) , Q.6 (ii,iii) , Q.7(iii)
16	Page No. 77	Theorem (Sine Rule) (3.2.4)
17	Page No. 79	Theorem (co-sine rule) (3.3.5)
18	Page No. 84	3rd Proof
19	Page No. 88	Q.1 (ii, iii) , Q.2 (i, iii) , Q.4 , Q.7 , Q.10
20	Page No. 101	Example : 7
21	Page No. 102	Q.1 (iv , v) Q.2 (ii)
22	Page No. 103	Q.3 (iii, vii)
23	Page No. 109	Q.13 , Q.10
4. Pair of Straight line
24	Page No. 114	Theorem 3
25	Page No. 117	Example 5
26	Page No. 119	Q.3 (i) , Q.4
27	Page No. 120	Q.6 , Q.8 , Theorem 4.4
28	Page No. 124	Q.1 , Q.3 , Q.4(i) , Q.5 , Q.7
29	Page No. 127	Q.4
30	Page No. 128	Q.7, Q.8
5. Vectors
31	Page No. 137	Theorem 1
32	Page No. 138	Theorem 2
33	Page No. 139	Theorem 3
34	Page No. 142	Theorem 4
35	Page No. 151	Q.1 , Q.5
36	Page No. 152	Q.11 (i), Q.12 , Theorem 5
37	Page No. 153	Theorem 6
38	Page No. 155	Example 5
39	Page No. 156	Example 6
40	Page No. 160	Q.1 ,Q.3 , Q.5 , Q.7, Q.8, Q.10
41	Page No. 168	Example 12
42	Page No. 169	Q.1, Q.2, Q.9, Q.11, Q.12
43	Page No. 178	Q.3, Q.5, Q.10, Q.14
44	Page No. 180	Theorem 9 , Theorem 10
45	Page No. 183	Q.1 , Q.2, Q.3 , Q.5 , Q.7,
46	Page No. 184	Q.10

 

6. Line and Plane
47	Page No. 200	Q.1, Q.4, Q.7, Q.10
48	Page No. 207	Q.1, Q.3, Q.4, Q.8
49	Page No. 208	Q.11 , Q.12
50	Page No. 215	Example 11
51	Page No. 216	Q.1, Q.4, Q.5, Q.10, Q.11
52	Page No. 212	Example 6
53	Page No. 220	Q.1 , Q.2 ,Q.5
7. Linear Programming 54 Page No. 241 Q.2 , Q.6 , Q.7

Mathematics 2

1. Differentiation
1	Page No. 2	Theorem 1.1.2
2	Page No. 10	Example 3 (v) , Example 4
3	Page No. 12	Q.2 (iii, iv, xi ) , Q.3 (vi, xi, xiii)
4	Page No. 14	Theorem 1.2.3
5	Page No. 28	Example (i , ii)
6	Page No. 29	Q.4 , Q.5 (i), Q.6 (i, iii, viii) , Q,7(iii, v, vii, x) , Q.8 (i, ii, vi) , Q.9(iii, iv, vii, viii) , Q.`10(viii, iii)
7	Page No. 40	Q.2 (iii) , Q.3 (i , ii, v , viii) Q.4 (i , ,iv, v, x ) , Q.5 ( i , ii, vi, vii)
8	Page No. 41	Theorem 1.4.2
9	Page No. 42	Example (i, ii)
10	Page No. 47	Example 2
11	Page No. 48	Q.1 (ii, v), Q.2 (i, ii), Q.3 (ii, iv , vii)
12	Page No. 49	Q.4 (ii, iv)
13	Page No. 54	Example 3
14	Page No. 60	Q.2 (ii, iv ) , Q.3 (vi, viii, xii), Q.4 (v , vii)
2. Application of Derivatives
15	Page No. 69	Example 2
16	Page No. 72	Q.1 (i, iii), Q.6, Q.8, Q.11, Q.16, Q.14
17	Page No. 75	Q.1(i), Q.2 (i, iii), Q.3 (i), Q.5 (iii), Q.6 (ii)
18	Page No. 80	Q.1 (ii. iv ), Q.4 , Q.7 (ii, iv)
19	Page No. 87	Example 4
20	Page No. 89	Q.1 (ii)
21	Page No. 90	Q.4 , Q.8 , Q.10, Q.12 , Q.14 , Q.22
3. Indefinite Integration
22	Page No. 98	Example 4
23	Page No. 99	Example 10
24	Page No. 103	Theorem 1
25	Page No. 105	Corollary IV
26	Page No. 106	Example 1
27	Page No. 108	Example 10
28	Page No. 110	Q.I (2,4,13,19,10 ,11 ) Q.II (2,3, 5,7 , 9 ) Some special Integrals (3.2.3 ) Prepare all Proof
29	Page No. 123	Q.I (1, 9,15, 19 ) Q.II (1,4,6 ,9,)
30	Page No. 128	Q.5 , Q,9, Theorem 3.3.1
31	Page No. 133	Theorem 6,7,8
32	Page No. 137	Q.I (1,3,7, 10, 15,16, 13 )

33	Page No. 138		Q.III (2,4 ,5,7,9)
34	Page No. 144		Q.I (1,2)
35	Page No. 145		Q.1 (8), Q.11, Q.18, Q.21
4. Definite Integration
36		Page No. 159		Property V
37		Page No. 160		Property VI
38		Page No. 161		Property VII ,Property VIII
39		Page No. 165		Example 7
40		Page No. 171		Q.I (6, 12, 13 )
41		Page No. 172		Q.II (2,10,15), Q.III (1,2,10,15,11)

 

5. Application of Definite Integration
42	Page No. 185		Example 5
43	Page No. 186		Example 6
44	Page No. 187		Example 8 , Q.1 (vi, vii), Q.3 (ii, iv , v)
6. Differential Equation
45		Page No. 193		Q.1 (i, ii, v, x ,vii)
46		Page No. 196		Q.1 (iii, iv , v) Q.5 , Q.6
47		Page No. 200		Example 3 (i, ii)
48		Page No. 201		Q.2 (ii, v, x ) ,Q.3 ( i , iv ), Q.4 (iii)
49		Page No. 203		Example iii , Q.I (1,3,5,6,12)
50		Page No. 206		Q.1 (iii, iv , vi)
51		Page No. 207		Q.3 , Q.4
52		Page No. 213		Q.1 ,Q.3 , Q.5 , Q.9 ,Q.11
7. Probability Distribution
53		Page No. 232		Q.3 ,Q.4 , Q.5, Q.8 ,Q.9, Q.10, Q.11, Q.14
54		Page No. 239		Q.4(ii), Q.7, Q.10
55		Page No. 244		Q.8, Q.12 , Q.13

 

8. Binomial Distribution
56	Page No. 251	Example 1, Example 8.1 (All Questions