Subject: Higher Mathematics (Theoretical)
Full Marks: 75                Subject: Code: 126             Time: 3 Hours
[NB: The Figures in the right margin indicate full marks]
 
Algebra: 35
Exercise: 1.1= 4**,5**,6**,8
Example: 5**
Exercise: 1.2= 1(i)***,5**,7**, Proposition: 9 (i), (ii), 10 (i), (ii), 11 (i)**, (ii)***, 12***, 13
Example: 1.3= 9**, 10**
(a) Resolve in to factors:
Exercise: 2.1= 11 (iii), (vii), (ix), (x)***
Example: 10, 12**
Exercise: 2.2= 1 (v), (vii), (xv)**
(b) Simplify/Partial fractions:
Exercise: 2.3= 3**, 4**, 5**, 7**, 8***, 12
Example: 6**, 11***
(c) Prove that/show that
Exercise: 2.1= 7**
Example: 6**
Exercise: 2.2 = 2**, 3**, 4**, 5***
Corollary- 1, 5
Exercise: 3= 4 (iii)**, 5 (ii), (iv)**, (v)**, (vi)**, (vii), (viii)
Example: 3**
Exercise: 4.2= 5 (b), (f), 6 (c)**, 7(a)**, (b)***, (c)*, (d)**, (e)
Example: 10**, 11***, 12, 14***
Exercise: 4.3= 2 (a)**, (c)**, (d)***, (e)***, (f)*
Example: 10**, 11**, 12**
Exercise: 5.1= 1 (b), (d), 2 (a), (b), (d), 5 (a)**, (b)**, (c)**, (d)**, 9**, 10**
Example: 2**
Exercise: 5.2= 4 (a), (b)**, (c)**, (d)**, 6 (a)
Exercise: 6.1= 6, 7, 8, 9**, 10**
Example: 5
Exercise: 6.2= 8**, 9**, 10**, 11**, 12**
Example: 5**, 7**, 8**
Exercise: 6.3= 5, 6
Example: 2***, 3**
Exercise: 6.4= 4, 5**, 6**, 7, 8
Example: 2
Exercise: 7.1= 5, 6, 7, 10*, 11
Example: 5
Exercise: 7.2= 5**, 7**, 8**, 9**
Example: 3, 6**
Exercise: 7.3= 6*, 8*, 9*
Example: 3***
Exercise: 8= 3, 4 (a), (b), (c)**, 5**, 6
Example: 1 (a), (b), 2
Theorem: 2.3**, 3.3, 3.4, 3.7***
Theorem: 4.4***, 4.6***, 4.7**, 4.8
Exercise: 2= 5**, 6**, 7**, 8**, 9. 10***
Exercise: 3.1= 6**, 8**, 13***
Exercise: 3.2= 6**, 8**
Exercise: 4= 6*, 7**, 9, 11**, 18**, 22, 23**
Problem: 1*, 2**, 4, 5, 6, 7, 8, 9**, 10**
Exercise: 6= 1 (c), 5 (b), 6, 7**, 9**, 10**
Example: 3***, 4***, 5**, 6
Solid Geometry-4
Exercise: 7.2= 6**, 7*, 11, 12, 13, 14, 15**, 18**, 19**, 20**, 21**, 25**
Example: 8**
Trigonometry-12
Exercise: 8.1= 2, 3, 4, 5, 6**, 7, 8, 10, 15**, 16**, 17**, 18**
What is radian? Prove that radian is a constant angel
Exercise: 8.2= 3**, 4, 10**, 11**, 12**, 13, 14**, 15**, 16**, 19**, 20**, 21**, 22
Example: 4***
Exercise: 8.3= 1 (iv), (v), (vi), 4 (i), (iv), 5 (iii), 6 (i), (ii)**, 7 (i), (ii), (iii), (iv), 9***, {(i) to (xi)}, 11, 13, 14, 15
Example: 4, 5
Statistics-5
Exercise: 9.2= 3, 4, 5, 6
Example: 2, 3
Exercise: 9.3= 2, 3, 5, 6
Example: 3**, 4**
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মোঃ আব্দুল বারী
প্রাক্তন প্রধান শিক্ষক (ভারপ্রাপ্ত) গভঃ ল্যাবরেটরী হাইস্কুল, রাজশাহী