Straight Line Equation Passing through the Origin
are the two straight lines represented by (1). These two equations are of the form y = m 1 x and y = m 2 x and therefore the given equation represents two straight lines through the origin. The two straight lines are real, coincident or imagina..
are the two straight lines represented by (1). These two equations are of the form y = m 1 x and y = m 2 x and therefore the given equation represents two straight lines through the origin. The two straight lines are real, coincident or imagina..Homogeneous equation
The given equation can be split into n equations viz Each of these n equations represents straight lines through the origin. Hence the given equation represents n lines through the origin. It is to be noted that all the n straight lines need not be real and distinct. Some of them may be c..
The given equation can be split into n equations viz Each of these n equations represents straight lines through the origin. Hence the given equation represents n lines through the origin. It is to be noted that all the n straight lines need not be real and distinct. Some of them may be c..Summary
In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real numbers. If P(x 1 ,y 1 ) and Q(x 2 ,y 2 ) be any two points in the plane, then If A(x 1 ,..
In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real numbers. If P(x 1 ,y 1 ) and Q(x 2 ,y 2 ) be any two points in the plane, then If A(x 1 ,..Real-life rate of change can be represented by ____.
Real-life rate of change can be represented by ____. => linear equation or non-linear equation or slope or intercept..
A linear function that models a real-life situation is called a _____.
A linear function that models a real-life situation is called a _____. => linear model or non-standard model or non-linear model or standard model..
What kind of trend does the scatter plot show? Describe a real-life si..
What kind of trend does the scatter plot show? Describe a real-life situation that the scatter plot could represent. => Negative trend; Age of students vs. Their height or No trend; Age of students vs. Number of pets they have or Positive trend; Age of students vs. Their height..
Cartesion System of Rectangular Coordinates
Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combin..
Biogeochemical Cycles
Biogeochemical Cycles - Earth is the source of matter for all living organisms, as they require several (about 40) elements for their growth and life processes. Some elements and their compounds have an important role in the living protoplasm and are required in large amounts. These nutri..
Limitations of Linear Programming
Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions are not linear, this techni..
Limitations of Linear Programming
(a). Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions are not linear, th..
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