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Converse of a theorem
If two statements are such that the hypothesis of one is the conclusion of the other and vice-versa then either of the statement is said to be the converse of the other..
If two statements are such that the hypothesis of one is the conclusion of the other and vice-versa then either of the statement is said to be the converse of the other..Examples:
Consider the statement of a theorem "If a transversal intersects two parallel lines, then pairs of corresponding angles are equal”. This theorem has two parts. If (hypothesis) and then (conclusion). Let us interchange the hypothesis and conclusion and write the st..
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 number..
Introduction
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 combining t..
Cartesion System Introduction
Introduction - 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 ..
Introduction
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..
Cartesion System
Introduction - 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 ..
Coordinates
The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and measure the se..
The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and measure the se..Coordinates and Points
Coordinates - The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and ..
Coordinates - The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and ..Equation of the line passing through the intersection of two lines
Let the lines be Let P (h,k) be the point of intersection of L 1 = 0 and L 2 = 0. Now consider the following equations, (v) (vi) This equation is a first degree in x and y and hence this represents a straight line. Again, from (iii) and (iv), the coordinates (h,k) satisfy (vi) for all t..
Let the lines be Let P (h,k) be the point of intersection of L 1 = 0 and L 2 = 0. Now consider the following equations, (v) (vi) This equation is a first degree in x and y and hence this represents a straight line. Again, from (iii) and (iv), the coordinates (h,k) satisfy (vi) for all t.. Result
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