Question:- Engine displacement is the measure of the cylinder volume swept by all the pistons of a piston engine. The piston moves inside the cylinder bore. The cylinder bore in the form circular cylinder open at the top is to be made from a metal sheet of area 75 π cm². Based on the above … Read more
Question:- The use of electric vehicle will curb air pollution in the long run. The use of electric vehicles is increasing every year and estimated electric vehicles in use at any time t is given by the function V: Where t represents the time and t = 1, 2, 3 . . . corresponds to … Read more
Exercise 5.3(Complex Numbers and Quadratic Equations) Solve each of the following equations:(Exercise 5.3 complex no. ncert math solution class 11) Question 1: . Solution : The given quadratic equation is . Question 2: . Solution: The given quadratic equation is . On comparing the given equation with , we obtain , and Therefore, the discriminant … Read more
Exercise 5.2 (Complex number) Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2.(Exercise 5.2 complex no. ncert math solution class 11) Question 1: Solution : Let Comparing the real and imaginary parts, we have Squaring and adding equation (1) and (2), we have Therefore, modulus Now, dividing … Read more
Exercise 5.1(Complex Number) Express each of the complex number given in the Exercises 1 to 10 in the form a + ib.(Exercise 5.1 complex no. ncert math solution class 11) Question 1: Solution: Question 2: Solution: Question 3: Solution: Question 4: Solution: Question 5: Solution: Question 6: Solution: Question 7: Solution: Question 8: Solution: Question … Read more
Chapter 4:(Principle Of Mathematical Induction) Prove the following by using the principle of mathematical induction for all n ∈ N (Exercise 4.1 ncert math solution class 11) Question 1:- Solution: Let be the given statement For , Assume that is true for some positive integer , such that We will now prove that is also … Read more
Chapter 7:Miscellaneous Exercise Integrate the functions in Exercises 1 to 24.(Chapter 7 Miscellaneous integration ncert maths solution class 12) Question 1: Solution: Let Let Let Let From equation (1), we have Now, Question 2: Solution: let Question 3: Solution: Let Question 4: Solution: Let Question 5: Solution: Let Let Dividing by denominator , we have … Read more
Fast revision(Math) class 12 revision of cbse math part-I 2022-2023 Class 12 revision of cbse math part-II 2022-2023 Integration: Chapter 7 Exercise 7.1 (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16) (17) (18) Methods of Integration:- 1. Integration by Substitution 2. Integration using Partial Fractions 3. Integration … Read more
Question : Show that right circular cone of least curve surface and given volume has an altitude equal to √2 time the radius of the base Solution: Let ‘r’ be the radius of cone and ‘h’ be the height of cone Volume of cone –(i) Curve surface area of cone Squaring both side Differentiating with … Read more
Exercise 7.11 By using the properties of definite integrals, evaluate the integrals in Exercises 1 to 19.(Ex 7.11 integration ncert maths solution class 12) Question 1: Solution : Let Adding (1) and (2), we have Question 2: Solution: Let Adding (1) and (2), we have Question 3: Solution:Let Adding (1) and (2), we have Question4: … Read more