CBSE Class 12 MCQs, Notes, PDF Book, Q & A, Important Questions, & PY / Sample Papers

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Determinants, Chapter 4 Ex 4.1

Determinants, Ex 4.1, Q 1 – NCERT Class 12th Maths Solutions Video Solutions For All Chapters Maths Class 12 Determinants, Ex 4.1, Q 2 – NCERT Class 12th Maths Solutions Determinants, Ex 4.1, Q 3 – NCERT Class 12th Maths Solutions Determinants, Ex 4.1, Q 5 – NCERT Class 12th Maths Solutions Determinants, Ex 4.1, […]

MCQ Maths Class 12

Properties of Determinants Properties and Applications of Determinants Minors and Co-factors Solving Simultaneous Equations

Maths Class 12 Chapter 4 Question Answer & Topics Video

Theorem 1 “Determinants” – “Minors, Cofactors, Adjoint & Inverse” Chapter 4 Class 12th Maths Video Solutions For All Chapters Maths Class 12 Theorem 2 “Determinants” – “Minors, Cofactors, Adjoint & Inverse” Chapter 4 Class 12th Maths Theorem 3 “Determinants” – “Minors, Cofactors, Adjoint & Inverse” Chapter 4 Class 12th Maths Theorem 4 “Determinants” – “Minors, […]

MCQ Accounts Class 12

Accounting For Share Capital MCQ Chapter 1 Accounts Class 12   Issue  And Redemption of Debentures MCQ Chapter 2 Accounts Class 12   Accounting for Partnership Firms Fundamentals MCQ Chapter 3 Accounts Class 12

MCQ Biology Class 12

Sexual Reproduction In Flowering Plants MCQ Chapter 1 Biology Class 12 Human Reproduction MCQ Chapter 2 Biology Class 12 Reproductive Health MCQ Chapter 3 Biology Class 12 Principles Of Inheritance And Variation MCQ Chapter 4 Biology Class 12 Molecular Basis Of Inheritance MCQ Chapter 5 Biology Class 12 Evolution MCQ Chapter 6 Biology Class 12 […]

MCQ Physics Class 12

Electric Charges And Fields MCQ Chapter 1 Physics Class 12 Electrostatic Potential And Capacitance MCQ Chapter 2 Physics Class 12 MCQ Chapter 2 Physics Class 12 Current Electricity MCQ Chapter 3 Physics Class 12 Moving Charges And Magnetism MCQ Chapter 4 Physics Class 12 Magnetism And Matter MCQ Chapter 5 Physics Class 12 MCQ Chapter […]

MCQ Chemistry Class 12

Solutions MCQ Chapter 1 Chemistry Class 12 Electro-Chemistry MCQ Chapter 2 Chemistry Class 12 Chemical Kinetics MCQ Chapter 3 Chemistry Class 12 The D-Block and F-Block Elements MCQ Chapter 4 Chemistry Class 12 Coordination Compounds MCQ Chapter 5 Chemistry Class 12 Haloalkanes And Haloarenes MCQ Chapter 6 Chemistry Class 12 Alcohols, Phenols And Ethers MCQ […]

MCQ Maths Class 12

Relations and Functions MCQ Chapter 1 Maths Class 12 Inverse Trigonometry MCQ Chapter 2 Maths Class 12  Matrices  MCQ Chapter 3 Maths Class 12 Determinants MCQ Chapter 4 Maths Class 12 Continuity and differentiability MCQ Chapter 5 Maths Class 12 Applications of Derivatives MCQ Chapter 6 Maths Class 12 Integrals MCQ Chapter 7 Maths Class […]

CBSE Class 12 Accountancy Previous Year Papers PDF Download

2025 Previous Year Papers Accountancy Class 12 2025 Previous Year Questions Papers Accountancy Class 12  Accountancy Question Papers Year 2024 Previous Year Paper Accountancy Class 12 2023 Previous Year Paper Accountancy Class 12 2022 Previous Year Paper Accountancy Class 12 2019 Previous Year Paper Accountancy Class 12 Year 2018 CBSE Class XII, Accountancy, Year 2018, Set […]

Redemption of Debentures – Accounts Class 12

Video Solutions For All Chapters Accounts Class 12 Redemption of Debentures Redemption of Debentures – Introduction (Accounts Class 12th) Redemption of Debentures – Purchase from open market (Accounts Class 12th) Redemption of Debentures – Purchase for Investment (Accounts Class 12th) Redemption of Debentures – Illustration-2 Page 9.28 (Accounts Class 12th) Redemption of Debentures – Ques […]

Goodwill – Accounts Class 12

Video Solutions For All Chapters Accounts Class 12 Goodwill Goodwill – Introduction (Accounts Class 12th) Goodwill – Factors Affecting the Value of Goodwill (Accounts Class 12th) Goodwill – Classification of Goodwill (Accounts Class 12th) Goodwill – Average Profit Method of Goodwill (Accounts Class 12th) Average Profit Method of Goodwill – Ques 2, Pg 2.16 (Accounts […]

Issue of Debentures – Accounts Class 12

Video Solutions For All Chapters Accounts Class 12 Issue of Debentures Issue of Debentures – Debenture Amount Recd. in Lump Sum (Accounts Class 12th) Issue of Debentures – Introduction (Accounts Class 12th) Issue of Debentures – Types of Debentures (Accounts Class 12th) Issue of Debentures – Issue for consideration other than cash (Accounts Class 12th) […]

Accounting for Partnership Firms Fundamentals – Accounts Class 12

Video Solutions For All Chapters Accounts Class 12 Accounting for Partnership Firms Fundamentals Accounting for Partnership Firms Fundamentals – Introduction (Accounts Class 12) Accounting for Partnership Firms Fundamentals – Partnership Deed (Accounts Class 12) Accounting for Partnership Firms Fundamentals – Provisions of Indian Partnership Act 1932 Profit & Loss Appropriation A/c – Accounting for Partnership […]

Change in Profit Sharing Ratio – Accounts Class 12

Video Solutions For All Chapters Accounts Class 12 Change in Profit Sharing Ratio Change in Profit Sharing Ratio – Introduction (Accounts Class 12) Change in Profit Sharing Ratio – Illustration 1 Pg 3.3 (Accounts Class 12th) Calculation of Sacrifice/Gain – Change in Profit Sharing Ratio – Illus- 2 Pg 3.5 (Accounts 12th) Change in Profit […]

Accounts Class 12 Share Capital

Video Solutions For All Chapters Accounts Class 12 Accounting For Share Capital, Introduction (Accounts Class 12th) https://youtube.com/watch?v=tu2ITRwu-hM Accounting For Share Capital, Illustration-1 Page 7.16 – (T.S Grewal Accounts Class 12th) https://www.youtube.com/watch?v=bmynnopGJGw Accounting For Share Capital, Illustration-3 Page 7.17 – (T.S Grewal Accounts Class 12th) https://www.youtube.com/watch?v=1BKq–m5k7U Accounting For Share Capital, Introduction (Accounts Class 12th) https://www.youtube.com/watch?v=Q9vKWMbaCSE Accounting […]

Maths Class 12 Probability, R.D Sharma Question Answer

Page 31.16 Ex. 31.1 Q1. Answer : Sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Consider the given events. A = An even number on the card B = A number more than 3 on the card Clearly, A = {2, 4, 6, 8, 10} B = {4, 5, 6, 7, […]

Maths Class 12 Three Dimensional Geometry, R.D Sharma Question Answer

DIRECTION COSINES & DIRECTION RATIOS Page 27.22 Ex. 27.1 Q1. Answer : Let the direction cosines of the line be l, m, n. Now, l = cos900 = 0m = cos600 = 12n = cos300 = 32Therefore, the direction cosines of the line are 0, 12, 32. Q2. Answer : Let the direction cosines of the line […]

Maths Class 12 Vector Algebra, R.D Sharma Question Answer

ALGEBRA OF VECTORS Page 23.4 Ex. 23.1 Q1. Answer : (i) The vector OP→ represents the required displacement vector. (ii) The vector OQ→ represents the required vector. (iii) The vector OR→ represents the required vector. Q2. Answer : The quantities which have only magnitude and which are not related to any fixed direction in space […]

Maths Class 12 Differential Equations R.D Sharma Question Answer

Page 22.4 Ex. 22.1 Q1. Answer : In this differential equation, the order of the highest order derivative is 3 and its power is 1. So, it is a differential equation of order 3 and degree 1. It is a non-linear differential equation because the differential coefficient dxdt has exponent 2, which is greater than […]

Maths Class 12 Applications Of Integrals, R.D Sharma Question Answer

Page 21.13 Ex.21.1 Q1. y2=8x  represents a parabola with vertex at origin and axis of symmetry along the +ve direction of x-axisx=2 is line parallel to y-axisLet (x, y)  be a given point on the parabola , y2=8xSince parabola   y2=8x   is symmetric about x-axis ,∴Required area =2 area OCAO On slicing the area above […]

Maths Class 12 Linear Programming, R.D Sharma Question Answer

LINEAR PROGRAMMING Page 30.14 Ex.30.1 Q1. Answer : Let x and y number of gadgets A and B respectively being produced in order to maximize the profit. Since, each unit of gadget A takes 10 hours to be produced by machine A and 6 hours to be produced by machine B and each unit of […]

Maths Class 12 Integrals, R.D Sharma Question Answer

INDEFINITE INTEGRALS Page 19.4 Ex.19.1 Q1. Answer : (i) ∫x4dx=x4+14+1+C =x55+C (ii) ∫x54dx=x54+154+1+C=49×94+C (iii) ∫x-5dx=x-5+1-5+1+C=-14x-4+C=-14×4+C (iv) ∫dxx3/2=∫x-3/2dx=x-32+1-32+1+C=x-12-12+C=-2x+C (v) ∫3xdx=3xln 3+C (vi) ∫dxx23=∫dxx2/3=∫x-2/3 dx=x-23+1-23+1+C=3×13+C (vii) ∫32 log3xdx=∫3log3 x2dx=∫x2dx=x33+C (viii) ∫logxx dx=∫1·dx=x+C Q2. Answer : (i) ∫1+cos 2x2dx ∫2 cos2x2dx ∴1+cos2A=2cos2A=∫cosx dx=sin x+C (ii) ∫1-cos 2x2dx =∫2sin2x2dx ∴1-cos 2x=2sin2x=∫sinx dx=-cos x+C Q3. Answer : ∫e6 log x-e5 […]

Maths Class 12 Applications of Derivatives, R.D Sharma Question Answer

DERIVATIVE AS A RATE MEASURE Page 13.3 Ex.13.1 Q1. Answer : Let T be the total surface area of a cylinder. Then, T = 2πrr+h Since the radius varies, we differentiate the total surface area w.r.t. radius r. Now, dTdr=ddr2πrr+h⇒dTdr=ddr2πr2+ddr2πrh⇒dTdr=4πr+2πh⇒dTdr=2πr+h Q2. Answer : Let V and r be the volume and diameter of the sphere, […]

Maths Class 12 Continuity and Differentiability, R.D Sharma Question Answer

CONTINUITY Page 9.17 Ex.9.1 Q1. Answer : Given: fx=xx, x≠01, x=0 We observe (LHL at x = 0) =limx→0-fx = lim h→0f0-h = lim h→0f-h =limh→0-h-h=limh→0-hh =limh→0-1 =-1 (RHL at x = 0) =limx→0+fx = lim h→0f0+h= lim h→0fh =limh→0hh=limh→0hh=limh→01=1 ∴limx→0+fx ≠limx→0-fx Hence, fx is discontinuous at the origin. Q2. Answer : Given: fx=x2-x-6x-3, x≠35, […]

Maths Class 12 Determinants R.D Sharma Question Answer

Page 6.11 Ex. 6.1 Q1. Answer : (i) M11=-1M21= 20Cij= -1i+jMijC11= -11+1-1 = -1C21 = -11+220 = -20D = -1×5-20×0=-5 (ii) M11= 3M21= 4Cij = -1i+jMijC11=-11+1M11= 3C21=-12+1M21=-4 = -4D=3 × -1 – 4 × 2 = -3 – 8 = -11 (iii) M11= -1252 =-2 – 10=-12M21 = -3252 = -6 – 10 = -16M31 […]

Matrices, Class 12 Mathematics R.D Sharma Question Answer

Page 5.6 Ex. 5.1 Q1. Answer : We know that if a matrix is of order m×n, then it has mn elements. The possible orders of a matrix with 8 elements are given below: 1×8, 2×4, 4×2, 8×1 Thus, there are 4 possible orders of the matrix. The possible orders of a matrix with 5 […]

Inverse Trigonometric Functions, Class 12 Mathematics R.D Sharma Question Answer

Page 4.7 Ex. 4.1 Q1. Answer : (i) Let tan-1-3=y Then, tany=-3 We know that the range of the principal value branch is -π2, π 2. Thus, tany=-3=-tanπ3=tan-π3⇒y=-π3∈-π2,π2 Hence, the principal value of tan-1-3 is -π3. (ii) Let cos-1-12=y Then, cosy=-12 We know that the range of the principal value branch is 0, π. Thus, […]

Relations & Functions, Class 12 Mathematics R.D Sharma Question Answer

RELATIONS Page 1.11 Ex. 1.1 Q1. Answer : (i) Reflexivity: Let x be an arbitrary element of R. Then,x∈R ⇒x and x work at the same place is true since they are the same.⇒x, x∈RSo, R is a reflexive relation. Symmetry: Let x, y∈R⇒x and y work at the same place ⇒y and x work […]