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Find the locus of the point, the sum of ...

Find the locus of the point, the sum of whose distances from the points `A(4,0,0)a n d\ B(-4,0,0)` is equal to 10.

Text Solution

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Let the coordinates of `P` be `(x,y,z)`
the coordinates of point `A` and `B` are `(4,0,0)` and `(-4,0,0)` respectively
it is given that `PA+PB=10`
`=> sqrt((x-4)^2+y^2+z^2)+sqrt((x+4)^2+y^2+z^2)=10`
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