TWO TOPICS

COUPLE OF TOPICS AT AS LEVEL MATHEMATICS. REVISE HARD!

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  • Created by: Amjad
  • Created on: 07-01-09 18:08

CO-ORDINATE GEOMETRY

MAIN THINGS TO REMEMBER:

MIDPOINT: (http://media.wiley.com/Lux/11/18711.nce007.jpg)

DISTANCES: (http://media.wiley.com/Lux/08/18708.nce004.jpg)

GRADIENTS: (http://media.wiley.com/Lux/15/18715.nce011.jpg)

PERPENDICULR LINES HAVE TO GRADIENTS, WHICH MULTIPLY TO GIVE -1 i.e m1 x m2 = -1 m=gradient

TO FIND EQUATION OF LINE, FIND GRADIENT, THEN USE yy1 = m ( xx1) TO FIND THE OVERALL EQUATION.

GENERAL FORM OF A STRAIGHT LINE: y = mX + c where m=gradient, and c= y-intercept

POINTS OF INTERSECTION: SIMULTANEOUS EQUATIONS OR y1=y2

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CIRCLES

GENERAL FORM OF A CIRCLE EQUATION: (x-a)2 + (y-b)2 = r2

CIRCLE EQUATION WHICH HAS CENTRE (0,0): x2 + y2 = r2

TANGENT IS ALWAYS PERPENDICULAR TO CIRCLE AND CUTS AT ONE POINT ONLY

WHEN ANORMAL INTERSECTS CIRCLE, SIMULTANEOUS EQUALTIONS OR y1=y2

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