what is coordinate 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..

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 - 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 ..

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..

Question: One of the vertices of a square is (3, 3). If two of its sides are along the X-axis and the Y-axis respectively. What are the coordinates of the vertices of the square? Answer: Let OABC be the square formed. The coordinates of the vertices of th..

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..

Question: In what ratio does the point divide the line segment joining the points (3,-5) and (-7,9)? [2 Mark] Answer: Let the point divide the line segment joining A(3,-5) and B (-7,9) in the ratio k:1. ..

Question: What points on the x-axis are at a distance of 5 units from the point (5, -4)? [2 Mark] Answer: Note that all the points on x-axis have y-co-ordinate zero. Let (x, 0) be the point which is at a distance of 5 units from the point (5, -4). Using distance formula, we ..