cartesian coordinate systems

Ordered Pairs and Cartesian Product - In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. Th..

Which of the following represents the relation between Cartesian and Polar coordinates? => x = r cos θ; y = r sin θ; r = x 2 - y 2 or x = r sin θ; y = r cos θ or x = r cos θ; y = r sin θ; r = x 2 + y 2 or None of the above..

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..

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 br..

From the polar co-ordinate system, the coordinates of P are ________ . => (5, 290°) or (- 5, 70°) or (5, 100°) or (5, 70°)..

Write the polar coordinates of M and N from the same polar coordinate system. => M(3, 180°), N(3, - 60°) or M(2, 0°), N(4, - 60°) or M(3, 180°), N(4, - 60°) or M(3, 180°), N(- 4, - 60°)..

As the complexity of the individuals, plants or animals increases the different cells and organs become separated from each other by greater distance. Thus it becomes necessary to have a system by which the different parts of the organisms can function as a single unit. This is poss..