coordinate systems geometry

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 initi..

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 meas..

Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordi..

The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usually drawn horizontally)..

The position of a point in a plane is determined by two coordinates..

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 combini..

Question 1 - Question: If the distance between the points (5, -6) and (x, -1) is 13, find the positive values of x. [3 Mark] Answer: The distance between two points is given by Given A (5, -6), B (x, -1), AB = 13 Squaring both the side..

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 combini..

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 b..

Question 1 - Question: Find the distance between the following pair of points.[2 Mark] (i) (-5, 3), (3, 1) (ii) (4, 5), (-3, 2) Answer: (i) Let A (x 1 , y 1 ) = (-5, 3) B (x 2 , y 2 ) = (3, 1) The distance between the points is (ii) A = (4, 5) and B = (-3, 2) Let (x 1 , y 1 ) = (4,5) and (x 2 , y 2..