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NCERT Solutions for Class 12 Maths

NCERT books provide a solid base in every concepts for the exams conducted by CBSE and class 12 is not less than a turning point in every student’s career.  It includes all the main topics and specific explanation which helps in better understanding of the teachers and students. NCERT books also have a major role in JEE according to HRD ministry.

BYJU’S brings you NCERT solutions for class 12, designed by top-rated teachers. The set of solutions for class 12 maths is encompassed with step-by-step explanations to all the questions of NCERT text book. It acts as a vital tool to many students in their exam preparation along with home assignments.

Download Chapter wise Solutions For CBSE Class 12 Maths:

Unit I: Relations and Functions

Unit II: Algebra

Unit III: Calculus

Unit IV: Vectors and Three-Dimensional Geometry

Unit V: Linear Programming

Unit VI: Probability

Posts in category Maths

Integrals

Integrals

Chapter-7: Integrals     Exercise – 7.1   Question 1: By the method of inspection obtain an integral (or anti – derivative) of the sin 3x.   Answer: As the derivative is sin 3x and x is the function of the anti – derivative of sin 3x.     Question 2: By the method of […]

Continuity and Differentiability

Continuity and Differentiability

Continuity and Differentiability     Exercise 1   Q1: Prove that the function is continuous at , at and at . Sol: The given function is At , So, f is continuous at x=0 At   So , f is continuous at x=-3 At x=5,f(x)=f(5)= (5×5) – 3=25-3=22 So , f is continuous at x=5 […]

Probability

Probability

Chapter – 13 : Probability   Exercise – 13.1     Q.1: Q and R are events such as P(Q) = 0.6 , P(R) = 0.3, P() = 0.2. Determine the value of P() and P( Sol: According to the Q., it is given that P(Q) = 0.6 , P(R) = 0.3, P () = […]

Applications of Derivative

Applications of Derivative

Applications of Derivative   Excercise 1 Q-1) For a circle, with radius given below, find the rate of change of the area w.r.t raduis’a’.  i) a = 2mm, ii) a = 5mm Ans.) We know that the area of circle with radius ‘a’ is . i.e. A = The rate of change of area w.r.t […]

Determinants

Determinants

Chapter – 4 : Determinants     Exercise 4.1     Q1: Evaluate the determinants.   Ans: = 2 ( -1 ) – 4 ( -5 ) = – 2 + 20 = 18     Q2: Evaluate the determinant. (i) (ii)   Ans: (i) (cos Ɵ )(cos Ɵ ) – ( -sin Ɵ ) […]

Vector Algebra

Vector Algebra

Chapter : 1 – Vector Algebra   Exercise – 10.1   Question 1: Graphically represent a 40 km displacement towards 30 o east of north.   Answer 1: Vector represent a 40 km displacement towards 30o east of north.     Question 2: Categorize the following measures as vectors and scalars. (a)  20 kg                                          (b)  […]

Matrices

Matrices

Chapter – 2 : Matrices           EXERCISE – 3.1   Q-1: In a matrix given below: A = , write (a) the order of the matrix. (b) the number of element. (c) Write the elements of a13, a21, a23, a24, a33   Solution: (a) In the matrix given in the question, there are 3 rows […]

Linear Programming

Linear Programming

Chapter – 12 : Linear Programming     Exercise – 12.1   Q1: Maximize Z = 3x + 4y Subject to the constraints: x + y ≤ 4, 0 ≤ x, 0 ≤ y   Sol: The feasible region determined by the constraints, x + y ≤ 4, x ≥ 0, y ≥ 0, is […]

Differential Equations

Differential Equations

Chapter – 9 : Differential Equations Exercise : 9.1   Q.1: Find the degree and order of the differential equation +sin (ym) = 0.   Solution: + sin (y”’) = 0 y”” + sin (y”’) = 0 y”” is the highest order derivative present in the differential equation. Therefore, the order is four. The given […]

3-Dimensional Geometry

3-Dimensional Geometry

Chapter – 11 : 3-Dimensional Geometry Exercise 1.1   Q1. Find the cosine directions, if a line makes angles 90°, 135°, 45° with x, y and z- axes respectively.   Sol: Let, the direction cosines of the line be p, q and r p = cos 90° = 0 q = cos 135° = r […]

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