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So far we have proved various theorems on parallelograms. Let us now apply these theorems to prove a few interesting and useful facts about a triangl..

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..

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 two branches of ..

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 two bra..

Parallel lines and Triangles - So far we have proved various theorems on parallelograms. Let us now apply these theorems to prove a few interesting and useful facts about a triangl..

Introduction - Homogeneous Equation : A rational, integral, algebraic equation of the variables x and y is said to be homogeneous equation of n t h degree in x and y, when the sum of the indices of x and y in every term is the same and is equal to ..

The term parallel is also applied to Line segments and Rays when the lines they determine are parall..

In quadrilateral DBCF, DB||CF (by construction) DF||BC (given) DBCF is a parallelogram. DB=CF ----(i) (opposite sides of a parallelogram) But DB=AD ----(ii) (given) From (i) and (ii), AD=CF Now compare triangles, AED and CEF, AD = CF \ AE = EC (CPCT) That is E is the mid point of AC. Hen..

Question 1 - Question: In a parallelogram ABCD, the Co-ordinates of the vertices are A(-8, -4), B(6, -4), C(x, y), D(-3, 3). Find the Coordinates of the point C by applying mid point formula. [3 Mark] Answer: The diagonals in a parallelogram bisect each other. Let the point of bisection b..

Homogeneous equation - A rational, integral, algebraic equation of the variables x and y is said to be homogeneous equation of n t h degree in x and y, when the sum of the indices of x and y in every term is the same and is equal to n. Thus, is a homogeneous equation of n t h degree in x ..