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Plot the points A(2, 9), B(–1, 3) and C(6, 3) on graph paper. On the same graph paper draw the locus of point A so that the area of ΔABC remains the same as A moves. - Mathematics

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Question

Plot the points A(2, 9), B(–1, 3) and C(6, 3) on graph paper. On the same graph paper draw the locus of point A so that the area of ΔABC remains the same as A moves. 

Graph
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Solution

 
Steps of construction:

  1. Plot the given points on graph paper.
  2. Join AB, BC and AC.
  3. Draw a line parallel to BC at A and mark it as CD.
    CD is the required locus of point A where area of triangle ABC remains same on moving point A.
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