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Class 12 NCERT Maths – Exercise 9.3 Solutions, Chapter 9: Differential Equations (Variable Seperable)
Q1: Find the general solution of the differential equation: Solution:Step 1: Simplify the Trigonometric Expression Recall the identities: Substitute these into the differential equation: … (1) Step 2: Separate the Variables Move the term to the right side to separate the variables : Step 3: Integrate Both Sides Step 4: Perform the Integration So, the…
Class 12 NCERT Maths – Exercise 9.2 Solutions, Chapter 9: Differential Equations
Q1: Verify that the given function is a solution of the differential equation . Solution:Step 1: Write down the given function Given function: … (1) Step 2: Find the First Derivative () Differentiating equation (1) with respect to : … (2) Step 3: Find the Second Derivative ()We differentiate equation (2) with respect to :…
Class 12 NCERT Maths – Exercise 9.1 Solutions, Chapter 9: Differential Equations
Q 1: Determine the order and degree (if defined) of the following differential equation: Solution:Step 1: Identify the Highest Order DerivativeLooking at the equation, we have a fourth-order derivative term: .We also have a lower order derivative inside the sine function.The highest order derivative is 4. Therefore, the Order is 4. Step 2: Check the…
Class 12 NCERT Maths – Chapter 8, Miscellaneous Exercise Solutions, Application of Integrals
Q1: Find the area under the given curves and given lines: (i) , , and x-axis (ii) , , and x-axis The formula is straightforward: . Since Solution Both curves and are standard parabolas opening upwards and lie above the x-axis for positive , we don’t need to worry about absolute values or negative areas…
Class 12 NCERT Maths – Exercise 8.1 Solutions, Chapter 8: Application of Integrals
Q 1: Find the area of the region bounded by the ellipse . SolutionStep 1: Identify the Curve and CoordinatesThe given equation is an ellipse in the standard form . Comparing this with the given equation: We find that: Since , the ellipse is horizontal (elongated along the x-axis). The vertices on the x-axis are…
Class 12 Application of Integrals Quiz 1
This is a free quiz/test based on the chapter Application of Integrals from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and check you level of preparations.
Class 12 Relations and Functions Quiz 1
This is a free quiz/test based on the chapter Relation and Functions from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Probability Quiz 1
This is a free quiz/test based on the chapter Probability from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Linear Programming Quiz 1
This is a free quiz/test based on the chapter Linear Programming from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Three Dimensional Geometry Quiz 1
This is a free quiz/test based on the chapter Three Dimensional Geometry from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Vector Algebra Quiz-1
This is a free quiz/test based on the chapter Vector Algebra from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Differential Equation Quiz-1
This is a free quiz/test based on the chapter Differential Equation from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Application of Derivatives Quiz-1
This is a free quiz/test based on the chapter Application of Derivatives from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Continuity and Differentiability Quiz-1
This is a free quiz/test based on the chapter Continuity and Differentiability from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Matrices and Determinants Quiz 1
This is a free quiz/test based on the chapter Matrices and Determinants from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 Inverse Trigonometry Quiz 1
This is a free quiz/test based on the chapter Inverse Trigonometry from Class 12th Maths.This quiz covers only the basic concepts of the chapter. Give this quiz seriously and access you level of preparations.
Class 12 NCERT Maths – Chapter 13(Probability), Miscellaneous Exercise Solutions
Question 1: A and B are two events such that . Find , if (i) A is a subset of B (ii) Solution:Formula for Conditional Probability: (i) Case 1: is a subset of ( )When event A is a subset of event B (), it means that the occurrence of A automatically implies the occurrence…
Class 12 NCERT Maths – Chapter 13(Probability), Exercise 13.2 Solutions
Welcome! If you’re looking for the NCERT Solutions for Class 12 Maths Chapter 13, Exercise 13.2, you’re in the right place. Below, you will find detailed, step-by-step solutions for every question in Exercise 13.2, designed to help you clear all your doubts and understand the logic behind each answer. This exercise has questions based on…
ISC Class 12 Board Exam Date Sheet 2026
Following is the date-sheet released by CISCE board for the upcoming class 12, ISC board exams in 2026. This date-sheet has only the main subjects, for the complete list of subjects visit the official board website. The link is given below the date-sheet. Students best of luck, prepare well and score good marks Date –…