Note:
1. i) Upto step 6 in the I Method and upto Step 7 in the II Method, gives the process of completing the square. ii) The quadratic equation has two roots. (i.e., there are two values for x) is b 2 - 4ac. This is usually denoted by D or D. D determines the nature of the ro..
1. i) Upto step 6 in the I Method and upto Step 7 in the II Method, gives the process of completing the square. ii) The quadratic equation has two roots. (i.e., there are two values for x) is b 2 - 4ac. This is usually denoted by D or D. D determines the nature of the ro..Ordered Pairs and Cartesian Product
Ordered Pairs and Cartesian Product - In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes...
Ordered Pairs and Cartesian Product - In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes...Quadratic Equations - Nature of Roots
Summary - i) An expression of the form a 0 x n + a 1 x n - 1 +....+ a n = 0, where n is a positive integer and a 0 , a 1 ,...,a n belong to some number system F, is called a polynomial in the variable x over F. ii) The degree of polynomial is defined as the highest index of the variable x..
Summary - i) An expression of the form a 0 x n + a 1 x n - 1 +....+ a n = 0, where n is a positive integer and a 0 , a 1 ,...,a n belong to some number system F, is called a polynomial in the variable x over F. ii) The degree of polynomial is defined as the highest index of the variable x..Linear Equations in One Variable
Let x be the required number. The value of x is determined by solving the equation. Thus \ 2x + x = 36 \ 3x = 36 \ x = 12 \ The number is 12. A man walking at the rate of four kilometres an hour, covers a certain distance in three hours less than another who walks at the rate of..
Let x be the required number. The value of x is determined by solving the equation. Thus \ 2x + x = 36 \ 3x = 36 \ x = 12 \ The number is 12. A man walking at the rate of four kilometres an hour, covers a certain distance in three hours less than another who walks at the rate of..Algebra/Linear Algebra
Different forms of numbers Scientific notation, square roots, exponents, radicals, absolute value, factorial, logarithms Properties of numbers Estimation of solutions Sequences and series Proportionality/direct variation, exponential/fractional expressions Patterns, relations and functions ..
Linear Algebra
Types of linear systems Gauss-Jordan elimination, Gauss-Jordan method Vectors and vector addition Geometrical solution sets of systems of equations Rectangular matrices to row echelon form Matrix multiplication Inverse to a square matrix Determinants of 2 by 2..
Adjoint matrix Animation
Matrices and Determinants..
Matrices and Determinants..Matrices and Determinants Matrices and Determinants..
Matrices and Determinants..The average score of students in statistics examination is 90, with a ..
The average score of students in statistics examination is 90, with a variance of 4. The average score of students in algebra examination is 102, with a variance of 7. Which course is more variable in terms of scores? => algebra or both are equally variable or cannot b..
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