This will have all the educational content related to Class 12 Maths
Q1. Find the 12th term of a GP with common ratio 2, whose 8th term is 192. Solution: Identify the components of the given GP First, let’s look at the information given to us for this Geometric Progression (GP).Common ratio, 8th term, The formula for the term () of a GP is: To find the […]
Class 9 NCERT Maths – Exercise Set 8.3 Solutions Read More »
Welcome back to our math blog! Today, we are going to solve problems from Exercise Set 8.2. If you have been following along in class, you know that an AP is just a sequence of numbers where the jump (or difference) between every consecutive term is exactly the same. Q1. Find the 10th and 26th
Class 9 NCERT Maths – Exercise Set 8.2 Solution Read More »
Parabola Equation Coordinates of Focus Coordinates of Vertex Equation of Axis of Symmetry i.e. X Axis i.e. X Axis i.e. Y Axis i.e. Y Axis Length of Latus Rectum Equation of Directrix Ellipse Equation Coordinates of Focus Coordinates of Vertex Relation between a, b and c Equation of Major Axis i.e. X Axis i.e. Y
Q1. Represent the rational numbers , , and on a single number line. Q2. Find three distinct rational numbers that lie strictly between and . Solution:Step 1: Make the denominators equal. The LCM of 4 and 2 is 4, Step 2: Make the difference between numerators large enoughMultiplying numerator and denominator by 4 Step 2:
Class 9 NCERT Maths – Exercise Set 3.4 Solutions Read More »
Q1. Convert the following rational numbers in the form of a terminating decimal or non-terminating and repeating decimal, whichever the case may be, by the process of long division: Solution:(i) : .Terminating. (ii) : .Non-terminating repeating. Q2. Prove that is an irrational number. Solution:Step 1 (Assumption): Assume is rational. So, , where and are co-prime
Class 9 NCERT Maths – End-of-Chapter 3 Exercise Solution Read More »
The CBSE has changed the Maths Syllabus of class 9 for the Academic Year 2026-27. The NCERT has come out with a new maths book (Ganita Manjiri) as per the new syllabus. The new book does not have an answer key for the exercises as was present in the previous NCERT books. So I have
Q 1. Prove that the determinant is independent of . Solution:Let To evaluate this, we will write the expansion of the determinant along the first row (). Now, calculate the second-order determinants: Next, carefully multiply the terms into the brackets: Notice that the terms and cancel each other out. We can then group the remaining
Class 12 NCERT Maths – Chapter 4 (Determinants) – Miscellaneous Exercise Solutions Read More »
In this post, we apply what we’ve learned about determinants and matrices to examine the consistency of a system of linear equations.Remember the rules from Ex 4.5: Let’s dive into the first two questions of Exercise 4.5! Q 1: Examine the consistency of the system of equations: Solution:First, let’s write the given system of equations
Class 12 NCERT Maths – Chapter 4 (Determinants) – Exercise 4.5 Solutions Read More »
Q 1: Find the adjoint of the matrix Solution:Let the given matrix be . To find , we first need to find the cofactor of each element. The cofactor is calculated as , where is the minor of the element . Writing these cofactors in matrix form, we get the Cofactor Matrix: The adjoint of
Class 12 NCERT Maths – Chapter 4 (Determinants) – Exercise 4.4 Solutions Read More »
Exercise 2.1 is based on the basic concepts of inverse trigonometry. The domain and range of the inverse trigonometric function (principle value branches) is the main concept of the chapter. It is recommended that you revise them before starting the exercise from this page. Also the basic definition of inverse trigonometric function should be known
