Find the number of diagonals that can be drawn in a polygon with 4 sid..
Find the number of diagonals that can be drawn in a polygon with 4 sides using the equation N = 1 2 s 2 - 3 2 s , where N is the number of diagonals and s is the number of si..
Summary
The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by replacing resp..
The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by replacing resp..Some important results
Similarly c = dk and e = fk (This method is called k-method. It will be freely used in this topic.) If 9x - 11y = 4x + 13y, find (i) , (i..
Steps for factorisation using remainder theorem
By trial and error method, find the factor of the constant for which the given expression becomes equal to zero. Divide the expression by the factor that is determined in step 1. Factorise the quotient. If the quotient is a trinomial, factorise it further. If the expression is ..
Significant Figures Introduction
Introduction - We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figures. Suppose a measurement is recorded as 0.6204 cm. It means that the measurement was ma..
Matrices
Consider the arrangement In this arrangement, there are two rows and four columns. The number 3 lies in the 2 n d row and 4 t h column. Each number has a fixed position. Matrix A has 2 rows and 3 columns and is thus of order 2 x 3. Matrix B has 3 rows and 2 c..
Consider the arrangement In this arrangement, there are two rows and four columns. The number 3 lies in the 2 n d row and 4 t h column. Each number has a fixed position. Matrix A has 2 rows and 3 columns and is thus of order 2 x 3. Matrix B has 3 rows and 2 c..Examples:
a) Ratio of Rs.20 to Rs. 48 Rs.20, Rs.48 are commensurable. , 4 are incommensurable (Ratio cannot be expressed in terms of integers, c) Ratio of the side of square to its diagonal. ..
a) Ratio of Rs.20 to Rs. 48 Rs.20, Rs.48 are commensurable. , 4 are incommensurable (Ratio cannot be expressed in terms of integers, c) Ratio of the side of square to its diagonal. ..Example 2:
Using matrix method, solve the following system of linear equations x + y + z = 6 (1) x + 2y + 3z = 14 (2) x + 4y + 7z = 30 ..
Significant Figures and Measuring Instruments
Significant Figures and Measuring Instruments - Let us consider the following entries in a Students' Journal: (a) Weight of a calorimeter = 42 g (measuring instrument used is spring balance) The smallest reading the spring balance can record is 1g. There are 42 of 1 g units of measurement..
Significant Figures and Measuring Instruments - Let us consider the following entries in a Students' Journal: (a) Weight of a calorimeter = 42 g (measuring instrument used is spring balance) The smallest reading the spring balance can record is 1g. There are 42 of 1 g units of measurement..Ratio and Proportion I Introduction
Introduction - Lets say there are 6 frogs and 2 crabs in a pond. We can compare the number of frogs to the number of crabs in two different ways: How many more frogs than crabs are there? or How many fewer crabs than frogs are there? The answer to both the questions is same i.e...
Introduction - Lets say there are 6 frogs and 2 crabs in a pond. We can compare the number of frogs to the number of crabs in two different ways: How many more frogs than crabs are there? or How many fewer crabs than frogs are there? The answer to both the questions is same i.e... Result
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