maths questions…?
-using coordinate geometry methods…
1. find the coordinates of the midpoint of line joining (-3,4) and (2, -2)
2. Find the equation of line joining points (-3,4) and (2,-2)
3. Point A(2,3), point B(3,-1) and point C(-2,5) are the vertices of a triangle.. Find the equation of the median through A (this is on a graph)
4. Prove that the points F(-6,-2), G(-2,1) and H(2,4) are collinear.
5. A line joins the points A(1,1) and B(9,5). Calculate the shortest distance between the point P(2,8) and the line AB .
and also trigonometry…
solve 14 – 3 tan x = 8, 0
Favorite Answer
2. find the gradient of the line between the points, m = -6/5
then use the point gradient formula to find the line, where you use the gradient above and using either of the given points as the point will yield the same result
y – 4 = -(6/5)(x + 3) then simplify
3. find the midpoint of B and C call it M = (1/2, 2)
find the gradient of the line between A and M gives m = 2/3
use thew point gradient formula using either A or M as the point
y – 3 = (2/3)(x – 2) then simplify
4. show that the gradient between F & G (ie m = 3/4) is equal to the gradient between G & H
5. you find the equation of the line between A & B using the methods above then either use calculus with the distance formula or else you would have been given a formula to find this.
6. 14 – 3 tan x = 8
so
tanx = (14 – 8)/3 = 2
x = arctan2 = 63.43°
.
go to this web page
http://cfbstaff.cfbisd.edu/bramhalla/TCEA/Math/coordinatesquaredraw!.bmp
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