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Grade 12Algebra

Find locus of the moving point so that the sum of the distance from (3,0) and (-3,0) is less than 9

Profile image of Hetul
10 Years agoGrade 12
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1 Answer

Profile image of Riddhish Bhalodia
10 Years ago
Let the moving point be (x,y)
then
d_1 = \sqrt{(x-3)^2 + y^2}
d_2 = \sqrt{(x+3)^2 + y^2}
if the sum of distance is equal to 9 then its an ellipse with a = 4.5 and we can find b

So now the distance is to be less than 9 hence it is all the ellipse which are less than this and the line segment included