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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 »
This is the solution for the test Class 11 Complex Numbers and Linear Inequality Test – 1. Let’s break down each problem step-by-step. Designed for both students and teachers, these answers make exam revision easier with clear explanations, formula highlights, and downloadable PDF options. Class 11 Complex Numbers and Linear Inequality Test-1 2027 ⇒ Section 1:
Class 11 Maths Complex Number and Linear Inequality Test 1 and Solutions – 2027 Read More »
The Class 9 Mathematics syllabus (2026–27) prescribed by CBSE is designed to strengthen logical thinking, problem‑solving skills, and real‑life mathematical applications. This detailed article will help students, teachers, and parents clearly understand the unit-wise syllabus, marks distribution, learning objectives, and exam pattern, making it perfect for exam preparation and academic planning. 📌 Overview of Class
Class 9 Mathematics Syllabus 2026–27 (CBSE) – Complete & Detailed Guide 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
Have you solved Class 12 Maths Matrices and Determinants Test – 2, 2027 and are looking for a solutions to the questions? Here you’ll find complete, step-by-step NCERT-style solutions for every question. Designed for both students and teachers, these answers make board exam revision easier with clear explanations, formula highlights, and downloadable PDF options. Class 12 Maths
Class 12 Maths Matrices and Determinants Test 2 and Solution, 2027 Read More »
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 »
