Note Book

                     Welcome To Class : XI Subject : Maths IMPORTANT QUESTIONS Unit  Wise Chapter 01                                  Chapter 07 Click Here                                        Click Here   Chapter 02                                  Chapter 08 Click Here                                        Click Here   Chapter 03                                  Chapter 09 Click Here                         ...

                         Welcome To Class : XI Subject : Maths Chapter : 12 Chapter : Introduction To Probability Theory IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  12.12 12.13 12.14 12.16 12.17 EXERCISES : 12.2  : 1,2,3,4 12.3  : 1,2,3 3 Marks Questions EXAMPLES :  12.11 12.15 12.20 EXERCISES : 12.2  : 5,6 12.3  : 4,5,11,12 5 Mark Questions EXAMPLES :  12.26 12.27 12.28 12.29 12.21 12.22 12.23 12.15 EXERCISES : 12.2 : 5 12.3 : 6,7,8,10,11,12 12.4 : 1,2,3,4,5 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 11 Chapter : Integral Calculus IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  11.20 11.26 11.30 11.31 11.32 11.33 11.36 11.37(i,ii,iii) EXERCISES : 11.1 : 1,2,3,4 11.2 : 1,2,3,4,5 11.8  : 1,2 11.9  : 1,3 11.10  : 1 3 Marks Questions EXAMPLES :  11.8(ii,iii) 11.9(i,ii) 11.10 11.30(v) 11.33(iv) 11.38(i,ii,iii,iv) 11.39(i,ii,iii) 11.41(i,ii) EXERCISES : 11.3  : 1,2,3,4,5,6 11.4  : 1,2,3 11.5  : 10,11,16,17 11.6  : 5,7,10,11,12,13,14 11.7  : 1,2 11.9  : 2,4 11.10  : 2,3 11.12  : 2 5 Mark Questions EXAMPLES :  11.34 11.40-(i,ii,iii,iv) EXERCISES : 11.7 : 3(i,iii,iv), 11.11 : 1(i,ii,iii),2(i,ii,iii) Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 10 Chapter : Differenciability And Methods Of Differenciation IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  10.1 10.2 10.3 10.7 10.8 10.9 10.11 10.14 10.15 10.17 10.18 10.19 10.20 10.26 10.33 EXERCISES : 10.1  : 1,2,3,4,5,6,7 10.2  : 14,15,16,17,18,19,20 10.3  : 1,2,3,4,5,6,7,8,9,10,11,12,18,20 10.4  : 1,6 3 Marks Questions EXAMPLES :  10.12 10.13 10.16 10.19 10.21 10.23 10.24 10.25 10.26 10.27 10.28 10.29 10.30 10.31 10.32 10.34 10:35 10.36 10.30 EXERCISES : 10.3  : 19,20,21,22,23,24,25,26,27 10.4  : 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 23, 26 5 Mark Questions EXAMPLES :  THEOREM : 10.2,10.3,10.4,10.5,10.6 EXERCISES : 10.1 : 3(iii),6 10.3 : 28,30 10.4 : 20,21,22,24,25,26,27,28,12,23 Thank You For  Refering On Our Page

                        Welcome To Class : XI Subject : Maths Chapter : 9 Chapter : Differential Calculus IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 9.10 9.11 9.12 9.16 9.17 9.18 9.19 9.20 9.25 9.30 9.37 9.39 EXERCISES : 9.1  : 7,8,9,10,11,12,13,14,15,19,20,21,22,23 9.2  : 1,2,3,6,9 9.3  : 1,2,3,4,5,6,7 9.4  : 1,2,3,14,15 9.5  : 1,2 3 Marks Questions EXAMPLES :  9.11 9.14 9.15 9.26 9.27 9.28 9.29 9.32 9.33 9.34 9.35 9.36 9.37 9.38 EXERCISES : 9.1  : 16,17,18 9.2  : 4,5,7,8,10,11,12,13,14,15 9.3  : 8,9,10 9.4  : 4,5,6,7,8,10,12,13,16,17,19,20,21 9.5  : 3,4,5,6,7 5 Mark Questions EXAMPLES :  9.6 9.31 9.34 9.33 9.26 9.28 EXERCISES : 9.1 : 16,17 9.2  : 8,10,11,15 9.4 : 4,16,18,22,23,24,28 9.5 : 7,9(i),9(ii),10 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 8 Chapter : Vector Algebra IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  8.1 8.4 8.5 8.6 8.8 8.11 8.12 8.13 8.14 8.15 8.16 8.18 8.20 8.21 8.22 8.24 8.26 EXERCISES : 8.1 : 1,7,8,9,10,11 8.2 : 1,2,3,5,8,14,16 8.3 : 1,2,3,4,6,8,12,13 8.4 : 1,2,3,5 3 Marks Questions EXAMPLES :  8.2 8.3 8.7 8.9 8.17 8.19 8.23 EXERCISES : 8.1  : 2,3,4,5 8.2  : 4,6,7,11,12,13,15,17 8.3  : 5,7,9,10,11,14 8.4  : 4,6,7,8,9,10 5 Mark Questions EXAMPLES :  8.9 8.23 8.26 EXERCISES : 8.1  : 12,5,6 8.2  : 10,12,17,4,7 8.3  : 14,10 8.4  : 7,8,9,6 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 7 Chapter : Matrices And Determinants IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  7.1 7.2 7.14 7.16 7.17 7.18 7.21 7.27 7.28 7.32 7.33 7.34 EXERCISES : 7.1 : 16,20(i,ii),17 7.2 : 1,6,15,16,17,18,19,21 7.4 : 1,2,3,4(i,ii) 3 Marks Questions EXAMPLES :  7.15 7.20 7.22 7.26 7.29 7.30 7.31 EXERCISES : 7.1  : 1,15,21,22,23 7.4  : 5,6 5 Mark Questions EXAMPLES :  7.23 7.24 7.25 7.29 7.30 7.31 EXERCISES : 7.1  : 13,18 7.2  : 2,3,4,8,12,14,11 7.3  : 1,2,4,5 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 6 Chapter : Two Dimensinonal Analytical Geometry IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  6.1 6.2 6.8 6.9 6.24 6.34 EXERCISES : 6.1 : 1,2 6.2 : 1,2,8,10 6.3 : 1,2,3,17 6.4 : 1,2,3 3 Marks Questions EXAMPLES :  6.3 6.4 6.5 6.6 6.7 6.11 6.14 6.16 6.17 6.22 6.25 6.26 6.27 6.28 6.29 6.32 EXERCISES : 6.1  : 3,4,5,6,7,8,11 6.3  : 5,7,8,9,12,13 6.4  : 4,8,9,18 5 Mark Questions EXAMPLES :  6.6 6.10 6.12 6.13 6.15 6.18 6.19 6.21 6.30 6.35 6.36 6.38 6.39 6.40 6.41 EXERCISES : 6.1  : 9,12,13,14,15 6.2  : 5,6,12,13,15,11 6.3  : 10,11,17,18 6.4  : 4,5,8,9,10,15,16,17,18 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 5 Chapter : Binomial Theorem, Sequence And Series IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  5.20 EXERCISES : 5.2 : 2 5.4 : 1 3 Marks Questions EXAMPLES :  5.14 5.15 5.17 5.18 5.21 5.24 EXERCISES : 5.2  : 3,5 5.4  : 2 5 Mark Questions EXAMPLES :  5.9 5.14 5.15 5.17 5.20 5.23 5.24 5.25 EXERCISES : 5.2 : 4,8,7,9,10 5.4 : 3,4,8,10 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 4 Chapter : Combinatorics And Mathematical Induction IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.11 4.13 4.15 4.16 4.17 4.18 4.19 4.20 4.21 4.22 4.23 4.25 4.36 4.41 4,44 4.51 4.52 4.53 EXERCISES : 4.1 : 1,2,3,14,15 4.2 : 1,4,9,10,12,13 4.3 : 15,22 3 Marks Questions EXAMPLES :  4.9 4.10 4.12 4.14 4.24 4.26 4.28 4.32 4.33 4.37 4.38 4.39 4.40 4.45 4.46 4.47 4.48 4.49 4.54 4.55 4.56 4.57 4.59 4.60 EXERCISES : 4.1 : 1(v), 2(i), 4,5,6,7,8,9,10,16 4.2 : 2,3,11,19,20 4.3 : 1,2,3,4,5,16,23 5 Mark Questions EXAMPLES :  4.56 4.34 4.35 4.58 4.42 4.43,  4.63 4.64 4.65 4.66,  4.67 4.70 EXERCISES : 4.2 : 8,14,15,16,17,18,19,20 4.3 : 3,8,,14,17,18,19,20,21,24 4.4 : 1,2,5,7,8,10,12,13,14,15 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 2 Chapter : Basic Algebra IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  2.1 2.2 2.3 2.4 2.5 2.10 2.11 2.31 2.32 2.34 2.35 2.36 2.37 2.38 2.39 2.40 2.38 EXERCISES : 2.2 1(i,ii,iii,iv),iii 2.3  1,2,5 2.4 1,2,8 ,9,10 2.11 1,5,6 2.12 1,2,4,6,9 3 Marks Questions EXAMPLES :  2.6 2.7 2.8 2.9 2.12 2.13 2.14 2.15 2.25 2.28 2.33 EXERCISES : 2.2 : 2, 3, 4, 5, 6 2.3 : 3, 4, 8, 10 2.4 : 4, 5, 7, 6 2.5 : 1, 2 2.9 : 1, 2 2.11 : 3, 4, 7 2.12 : 3, 5, 8, 12 5 Mark Questions EXAMPLES :  2.24 2.26 2.27 EXERCISES : 2.3 : 6, 9 2.8 : 1, 2, 3 2.9 : 3, 4, 7, 8, 9, 10, 11, 12 2.11 : 7 2.12 : 7 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 3  Chapter : Trigonometry IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11 3.12 3.15 3.17 3.21 3.22 3.23 3.24 3.25 3.26 3.27 3.28 3.33 3.34 3.35 3.36 EXERCISES : 3.1 : 2 3.2 : 1,2,3,5,6 3.3 : 1,2,3 3.4 : 5,12 3.5 : 1,7 3.6 : 1,2,7 3 Marks Questions EXAMPLES : 3.13 3.14 3.16 3.18 3.19 3.20 3.29 3.30 3.31 3.37 3.38 EXERCISES : 3.2 : 4, 7, 8, 9, 10  3.3 : 4, 5, 6 3.4 : 1, 2, 3, 4, 6, 7, 8, 9, 13, 14, 15, 16, 17, 18, 19, 20 3.5 : 2, 4, 5, 6, 8 3.6 : 3, 6, 8, 9, 13, 14 5 Mark Questions EXAMPLES :  3.25 3.32 3.36 3.38 3.19 3.30 3.40 EXERCISES : 3.4 : 16, 19, 25 3.5 : 4, 9, 10, 11 3.6 : 3, 4,12, 14 Thank You For  Refering On Our Page

                         Welcome To Class : XI Subject : Maths Chapter : 1 Chapter : Sets, Relations And Functions IMPORTANT QUESTIONS        2 Marks Questions EXAMPLES :  1.1 1.2 1.3 1.4 1.6 1.7 1.9 1.11 1.12 EXERCISES : 1.1 : 1,2,3,5,6,7 1.2 : 1,6,8 1.3 : 1,18 3 Marks Questions EXAMPLES :  1.5 1.10 1.13 1.30 EXERCISES : 1.1  : 4 (iv, v, vi) 1.2  : 2,3,4,5,7 1.3  : 2,3,15,17,19,20 5 Mark Questions EXAMPLES :  1.11 1.12 1.30 EXERCISES : 1.2 : 2,3,5,7 1.3 : 12,16,17 Thank You For  Refering On Our Page

Welcome To Class : XI Subject : Maths Chapter : 2 Exercise : 2.2 Que 1 : Solve for " x "  (i) |3-x| < 7 |x| < r  -r < x < r |3-x|<7 -7 < (3-x) < 7 -7-3 < -x < 7-3 -10 < -x < 4 ∴ -4 < x < 10 (ii) |4x-5| ≥ -2 |x-a| ≥ r (x-a) ≥ -r  |4x-5| ≥ 2          ∵ r < 0 x ∈ R (iii) |3-(3/4)x| ≤ 1/4 |3-(3/4)x| ≤ 1/4 3|1-(1/4)x| ≤ 1/4 |1-(1/4)x| ≤ 1/12 |(4-x)/4| ≤ 1/12 1/4|4-x)| ≤ 1/12 |4-x| ≤ (1/12)(4/1) |4-x| ≤ 1/3 [-(x-4)] ≤ 1/3                      |x-a|≤ r -1/3 ≤ x-4 ≤ 1/3                  -r ≤ x-a ≤ r (-1/3)+(4) ≤ x ≤ (1/3)+(4) 11/3 ≤ x ≤ 13/3 (iv) |x|-10 < -3 |x|<7 -r < x < r |x|-10 < -3      |x| < -3+10      |x| < 7 -7 < x < 7    Que 2 : Solve (1/|2x-1|) < 6 and express the solution using the interval notation. Solution : (1/|2x-1|) < 6...

Welcome To Class : XI Subject : Maths Chapter : 2 Exercise : 2.1 Que 1 : Classify each element of {√7,-¼,0,3.14,4,(22/7)} as a member of ℕ, Q, ℝ, - Q or ℤ. Solution : √7 irrational number Q = R-Q √7 ∈ R-Q -¼ negative rational number -¼ ∈ Q 0 Integer & Rational Number 0 ∈ Z,Q 3.14 Rational Number 3.14 ∈ Q 4 Natural Number, Rational Number 4 ∈ N, Z, Q 22/7 Rational Number 22/7 ∈ Q             Que 2 : Prove That √3 is an irrational number. Solution : Let Assume That  √3 is Rational Number  i.e √3 = (m/n); m,n ∈ z ; n ∈ 0 n√3 = m Squaring on Both Side; (n√3)² = m² 3n² = m² ------------------------------ (1) Let m² is even m must be even m = 2k Substitute m = 2k in (1) 3n² = m² 3n² = 4k² n² = (4k²/3) n² & n also an even number m and n have common factor 2 This Contradiction that m and n have no factor greater than one  ∴ √3 is an irrational number. Que 3 : Are There Two Distinct irrational number, such that their difference i...