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I would like to coin together certain properties of [#permalink]
28 Dec 2006, 20:27
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I would like to coin together certain properties of Coordinate Geometry (from the basics) that I learnt from various sources, some even from the forum. Would appreciate your help in adding more or correcting these.
*A straight line with a -ve slope passes through II and IV quadrants
A straight line with a +ve slope passes through I and III quadrants
*If the slope is 1 the angle formed by the line is 45 degrees
*If the slope of a line is n, the slope of a line perpendicular to it is its -ve reciprocal, -1/n
*If a line is horizontal, slope=0, equation is y=b
*If a line is vertical, slope is not defined, equation is x=a, where a is x-intercept.
*Parallel lines have same slope.
Equation of a circle is (x - a)^2 + (y-b)^2 = r^2, where (a,b) is the center and r is the radius
Equation of a circle is x^2+y^2=r^2 if (0,0) is the center
Equation of a line is y=mx+b, where m=slope and b=y intercept
* y intercept is the value of y when x is 0
x intercept is the value of x when y is 0
* Points that solve the equation of a line are in the same line
*Given a point and slope, equation of the line can be found
*Given the equation, x and y intercepts can be found
DISTANCE between two points = sqrt[(x1-x2)^2+(y1-y2)^2]
MIDPOINT: xm=(x1+x2)/2 ym=(y1+y2)/2
I know, the properties do not end here. Hope you guys join in.
Last edited by Sumithra on 16 Jan 2007, 12:46, edited 3 times in total.