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

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Solution

2

Steps of construction:

i) Plot the given points on graph paper.

ii) Join AB, BC and AC.

iii) 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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