School Learning

12.5K+ posts

Last Updated: 13 August 2026

Complex roots are the solutions of an equation that involve imaginary numbers and are usually written in the form a + ib, where i² = -1.Example 1: Find the roots of the qu...read more

Mathematics

Maths

Practice Questions

Integration (Practice Questions)

Last Updated: 12 August 2026

Integration is a mathematical process used to find the antiderivative of a function or to calculate the area under a curve. It is essentially the reverse process of differ...read more

Mathematics

Maths

Practice Questions

Count Numbers with Floor kth Root as n

Last Updated: 14 August 2026

Given two integers n and k, find how many integers x satisfy the condition that the integral part (floor value) of the kth root of x is n.Examples:Input: n = 3, k = 2Outpu...read more

Mathematics

DSA

Quadratic Graph Practice Problems

Last Updated: 17 August 2026

A quadratic graph is the graph of a quadratic function of the form y = ax² + bx + c (where a ≠ 0). It is a U-shaped curve called a parabola that opens upward if a is posit...read more

Mathematics

Maths

Practice Questions

Law of Total Probability (Practice Problems)

Last Updated: 01 August 2026

The Law of Total Probability states that if an event can occur through several mutually exclusive and exhaustive events, then its total probability is the sum of the proba...read more

Mathematics

Euclidean Distance (Practice Questions)

Last Updated: 29 July 2026

Euclidean distance is defined as the distance between two points in Euclidean space. To find the distance between two points, the length of the line segment that connects ...read more

Symmetric and Skew-Symmetric Matrices (Practice Problems)

Last Updated: 22 July 2026

A symmetric matrix and a skew-symmetric matrix are special types of square matrices defined by their relationship with their transpose.A symmetric matrix is a square matri...read more

Mathematics

Maths

Cramer's Rule (Practice Problems)

Last Updated: 21 July 2026

Cramer's Rule is a method for solving a system of linear equations using determinants. It is applicable only when the system has the same number of equations as unknowns a...read more

Mathematics

Maths

linear algebra

Inverse of a Matrix (Practice Problems)

Last Updated: 21 July 2026

The inverse of a matrix is a matrix that, when multiplied by the original matrix, produces the identity matrix. It is similar to the reciprocal of a number.Solved Examples...read more

Mathematics

Augmented Matrix (Practice Problems)

Last Updated: 21 July 2026

An augmented matrix is a matrix that combines the coefficients of a system of linear equations with the constants on the right-hand side. It provides a compact way to repr...read more

Mathematics

Maths

linear algebra

Practice Questions on Eigenvalues and Eigenvectors

Last Updated: 21 July 2026

Eigenvalues and eigenvectors are special numbers and vectors associated with a matrix. They describe directions that do not change direction when a matrix transforms them—...read more

Mathematics

Maths

linear algebra

Practice Questions on Linear Equations

Last Updated: 21 July 2026

A linear equation is an equation in which each variable has a power of 1 and the graph of the equation is a straight line.Solved ExamplesExample 1: Solve 2x = 3(x + 4)Sol...read more

Linear Algebra Practice Problems

Last Updated: 21 July 2026

Linear algebra is the branch of mathematics that studies vectors, matrices, and linear equations. It provides the mathematical tools to solve systems of equations and desc...read more

Mathematics

Maths

linear algebra

Graphing Functions Practice Problems

Last Updated: 21 July 2026

Graphing functions means drawing the graph of a mathematical function on the coordinate plane to show the relationship between the input values (x-values) and the output v...read more

Mathematics

Maths

Direct and Indirect Proportion Practice Questions

Last Updated: 21 July 2026

Direct and inverse proportions are mathematical concepts used to describe the relationship between two variables.Direct Proportions:Problem 1: A vertical pole of 10 m heig...read more

Mathematics

math

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