Analytical Geometry Homework: Find Co-ordinates of N

In summary, the conversation discusses finding the coordinates of point N in the parallelogram NBCD. It suggests using analytical methods, such as finding the equation of the line through A and B or treating the line and a circle with center at B as simultaneous equations, to determine the coordinates.
  • #1
DERRAN
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Homework Statement


http://img15.imageshack.us/img15/3262/30115975.png


Homework Equations


all analytical methods

The Attempt at a Solution


I kinda got stuck for determining the co-ordinates of N, need some help.
 
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  • #2
So you have determined where point B is? What are its coordinates?

If NBCD is a parallelogram, then N will lie on AB with the length of NB the same as the length of CD. One way to find N is to find the equation of the line through A and B, so that you have y as a function of x, use that to find the distance from a general point (x,y) on that line to B as a function of x only, set it equal to the distance from C to D and solve for x. Equivalently, treat the equation of the line through A and B and the equation of a circle with center at B, radius equal to the distance from C to D as simultaneous equations and solve for x and y.
 
  • #3
got it thanks.
 

FAQ: Analytical Geometry Homework: Find Co-ordinates of N

What is Analytical Geometry?

Analytical Geometry is a branch of mathematics that deals with the study of geometric figures using algebraic principles. It involves using coordinates and equations to describe and solve problems involving points, lines, and shapes in a coordinate plane.

What are coordinates?

Coordinates are pairs of numbers that represent the position of a point on a coordinate plane. The first number in the pair represents the point's horizontal position (x-coordinate) and the second number represents its vertical position (y-coordinate).

How do I find the coordinates of a point N?

To find the coordinates of a point N, you need to have the point's location on the coordinate plane and the axes it lies on. You can then count the number of units along the x-axis and the y-axis to determine the point's coordinates.

What is the formula for finding the coordinates of N?

The formula for finding the coordinates of a point N is (x, y), where x is the horizontal distance from the origin to the point and y is the vertical distance from the origin to the point.

Can I use a calculator to find the coordinates of N?

Yes, you can use a calculator to find the coordinates of N. Most scientific calculators have a coordinate function that can help you determine the coordinates of a point on a coordinate plane.

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