uses of coordinate geometry

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..

Draw AL, BM and CN perpendicular to x-axis. LM = x 2 -x 1 MN = x 3 -x 2 LN = x 3 -x 1 Area of D ABC = area of trap {ALMB + BMNC - ALNC} This can be expressed in the form of a determinant Another form which is convenient to use for the area of triangles but which is very much..

Using the distance formula, we have ..

Question: The line segment joining A(2,3) and B(6,-5) is intersected by the x-axis at point K. Write down the ordinate of K. Hence find the ratio in which K divides AB. [3 Mark] Answer: The point K is on the x-axis. Therefore, the ordinate of K is 0. Let the co-ordinates..

Question: In the given figure, the points P and Q have co-ordinates (3,4) and (0,2) respectively. [3 Mark] Find (i) Co-ordinates of R and (ii) The area of quadrilateral OMPQ. Answer: Let Q divide RP in the ratio :1 and the co-ordinates of R are (x,0..

Question: Use distance formula, show that the points (8, 7), (6, 4) and (0, -5) are collinear. [3 Mark] Answer: Let A = (8, 7), B = (6, 4), C = (0, -5) Out of the line segments AB, BC and AC, if the sum of two of them is equal to the third, then A, B, C are collinear. T..

Summary - 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 numbers. If P(x 1 ,y 1 ) and Q(x 2 ,y 2 ) be any two points in the plane, then ..

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..

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..