Lesson 5 locus of a point


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Lesson 5 locus of a point

  1. 1. AN EQUATION OF A LOCUS Prepared by: Prof. Teresita P. Liwanag – ZapantaB.S.C.E., M.S.C.M., M.Ed. (Math-units), PhD-TM (on-going)
  2. 2. FINDING AN EQUATION OF A LOCUS Since an equation of a curve is arelationship satisfied by the x and y coordinatesof each point on the curve (but by no otherpoint), we need merely consider an arbitrarypoint (x,y) on the curve and give the descriptionof the curve in terms of x and y.
  3. 3. Examples:Find an equation for the set of all points (x, y) satisfying thegiven conditions5.It is equidistant from (5, 8) and (-2, 4).6.The sum of its distances from (0, 4) and (0, -4) is 10.7.The sum of the squares of its distances from (3, 0 ) and(-3, 0) is 50.8.It is on the line having slope of 2 and containing the point(3, -2).9.The difference of its distances from (3, 0) and (-3, 0) is 2.