The LCM of two numbers x and y is the least number among all the common multiples of x and y. Example: Find the LCM of 6 and 9. …
read moreSum of cubes: We can factorize an expression involving sum of cubes using the following formula. a3 + b3 = (a+b) (a2 – ab + b2) Example 1: Factorize the…
read moreEquation of a line: An equation is called the equation of a straight line if each point on the line satisfies that equation and no other point on the plane…
read moreMatrix: A matrix is a rectangular arrangement of “mn” elements with ‘m’ rows and ‘n’ columns enclosed within brackets. Here m x n is called the order of the…
read moreThe Highest Common Factor (HCF) of two numbers x and y is the highest number among all the common factors of x and y. Example: Find the HCF of…
read moreA shape with rotational symmetry looks the same after a certain amount of rotation. An object may have more than one rotational symmetry. The point around which the shape is…
read moreA shape is said to be symmetric if it is exactly like another if flipped, slid or turned. The line of symmetry divides the shape into symmetry. In two-dimensional shapes…
read moreRow operations: a) Interchanging of two rows: We can interchange any two rows in a matrix. The interchanging of ith and jth rows is symbolically denoted by Ri ↔ Rj.…
read moreAddition of matrices: If two matrices A and B are of the same order mxn, then the sum A+B is of the same order mxn and contains the elements obtained…
read moreQuadratic equation: A quadratic equation is an equation with degree (highest power) 2. Example: i) x2 + 5x + 6 = 0; ii) x2 – x – 6 = 0.…
read more