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The coordinates of the point A and B are...

The coordinates of the point `A and B` are (a,0) and `(-a ,0),` respectively. If a point `P` moves so that `P A^2-P B^2=2k^2,` when `k` is constant, then find the equation to the locus of the point `Pdot`

Text Solution

Verified by Experts

The correct Answer is:
`2ax+k^2=0`
Let the point be (x,y). Then,
`(x-a)^2+y^2-(x+a)^2-y^2=2k^2`
or `-4ax-2k^2=0`
or `2ax+k^2=0`
This is the required equation to the locus of point P.
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