coordinate geometry examples


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Coordinates
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..
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 meas..
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 numbe..
Rectangular coordinate system
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 coordinate ..
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 coordinate axes, the one (usually drawn horizontally)..
Rectangular Coordinate System
The position of a point in a plane is determined by two coordinates..
Example:
Find the coordinates of the points A (-3, -4), B (-8,7) which divides the line segment joining the points A and B in the given ratio 5:7 i) internally and ii) externall..
Example:
Show that the line through (-6,6) and (-1,-3) is perpendicular to the line through (2,-4) and ..
Fundamental problems of Analytical Geometry
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..
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 branche..
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